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3849220032 = 263719307491
BaseRepresentation
bin1110010101101110…
…0110111111000000
3100221020222122012220
43211123212333000
530340400020112
61433542051040
7164246554560
oct34533467700
910836878186
103849220032
1116a5869a89
128b5119a80
1349460b7b8
14287304da0
15177dde98c
hexe56e6fc0

3849220032 has 224 divisors, whose sum is σ = 12316846080. Its totient is φ = 1036385280.

The previous prime is 3849220027. The next prime is 3849220049. The reversal of 3849220032 is 2300229483.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 3849219975 and 3849220002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7839307 + ... + 7839797.

It is an arithmetic number, because the mean of its divisors is an integer number (54985920).

Almost surely, 23849220032 is an apocalyptic number.

3849220032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3849220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6158423040).

3849220032 is an abundant number, since it is smaller than the sum of its proper divisors (8467626048).

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

3849220032 is a wasteful number, since it uses less digits than its factorization.

3849220032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 3849220032 is about 62042.0827503397. The cubic root of 3849220032 is about 1567.1993604468.

The spelling of 3849220032 in words is "three billion, eight hundred forty-nine million, two hundred twenty thousand, thirty-two".