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3679399080 = 233557173181
BaseRepresentation
bin1101101101001111…
…0010110010101000
3100111102102211200000
43123103302302220
530013411232310
61405034143000
7160115243010
oct33323626250
910442384600
103679399080
111618a19a95
12868281a60
1346838cb26
1426c93ac40
151680474c0
hexdb4f2ca8

3679399080 has 384 divisors, whose sum is σ = 15010894080. Its totient is φ = 791285760.

The previous prime is 3679399069. The next prime is 3679399111. The reversal of 3679399080 is 809939763.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1155090 + ... + 1158270.

It is an arithmetic number, because the mean of its divisors is an integer number (39090870).

Almost surely, 23679399080 is an apocalyptic number.

3679399080 is a gapful number since it is divisible by the number (30) 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 3679399080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7505447040).

3679399080 is an abundant number, since it is smaller than the sum of its proper divisors (11331495000).

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

3679399080 is a wasteful number, since it uses less digits than its factorization.

3679399080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3231 (or 3215 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The square root of 3679399080 is about 60658.0504137744. The cubic root of 3679399080 is about 1543.8044856553.

The spelling of 3679399080 in words is "three billion, six hundred seventy-nine million, three hundred ninety-nine thousand, eighty".