3896335872 has 560 divisors, whose sum is σ = 13900704048. Its totient is φ = 1074954240.

The previous prime is 3896335831. The next prime is 3896335897. The reversal of 3896335872 is 2785336983.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 53374428 + ... + 53374500.

Almost surely, 2^3896335872 is an apocalyptic number.

3896335872 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 3896335872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6950352024).

3896335872 is an abundant number, since it is smaller than the sum of its proper divisors (10004368176).

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

3896335872 is an equidigital number, since it uses as much as digits as its factorization.

3896335872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 102 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The square root of 3896335872 is about 62420.6365875902. The cubic root of 3896335872 is about 1573.5678082667.

The spelling of 3896335872 in words is "three billion, eight hundred ninety-six million, three hundred thirty-five thousand, eight hundred seventy-two".