3857979264 has 128 divisors (see below), whose sum is σ = 10825774080. Its totient is φ = 1215406080.

The previous prime is 3857979239. The next prime is 3857979277. The reversal of 3857979264 is 4629797583.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 3857979198 and 3857979207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 508104 + ... + 515640.

It is an arithmetic number, because the mean of its divisors is an integer number (84576360).

Almost surely, 2^3857979264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3857979264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5412887040).

3857979264 is an abundant number, since it is smaller than the sum of its proper divisors (6967794816).

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

3857979264 is a wasteful number, since it uses less digits than its factorization.

3857979264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7628 (or 7616 counting only the distinct ones).

The product of its digits is 22861440, while the sum is 60.

The square root of 3857979264 is about 62112.6336907396. The cubic root of 3857979264 is about 1568.3872256198.

The spelling of 3857979264 in words is "three billion, eight hundred fifty-seven million, nine hundred seventy-nine thousand, two hundred sixty-four".