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3738008352 = 253132995199
BaseRepresentation
bin1101111011001101…
…0111101100100000
3100122111201111110210
43132303113230200
530123412231402
61414530254120
7161426355351
oct33663275440
910574644423
103738008352
111649010001
12883a27340
13477570a80
14276635d28
1516d27306c
hexdecd7b20

3738008352 has 48 divisors (see below), whose sum is σ = 10567065600. Its totient is φ = 1150156032.

The previous prime is 3738008347. The next prime is 3738008353. The reversal of 3738008352 is 2538008373.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 3738008352.

It is not an unprimeable number, because it can be changed into a prime (3738008353) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1496352 + ... + 1498847.

It is an arithmetic number, because the mean of its divisors is an integer number (220147200).

Almost surely, 23738008352 is an apocalyptic number.

3738008352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3738008352 is an abundant number, since it is smaller than the sum of its proper divisors (6829057248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3738008352 is a wasteful number, since it uses less digits than its factorization.

3738008352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2995225 (or 2995217 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 3738008352 is about 61139.2537736600. The cubic root of 3738008352 is about 1551.9584473588.

The spelling of 3738008352 in words is "three billion, seven hundred thirty-eight million, eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 2995199 5990398 8985597 11980796 17971194 23961592 35942388 38937587 47923184 71884776 77875174 95846368 116812761 143769552 155750348 233625522 287539104 311500696 467251044 623001392 934502088 1246002784 1869004176 3738008352