3875283216 has 320 divisors, whose sum is σ = 13340098560. Its totient is φ = 1053803520.

The previous prime is 3875283173. The next prime is 3875283221. The reversal of 3875283216 is 6123825783.

3875283216 is a `hidden beast` number, since 3 + 87 + 528 + 32 + 16 = 666.

It is a super-2 number, since 2×3875283216² = 30035640008422605312, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6280540 + ... + 6281156.

It is an arithmetic number, because the mean of its divisors is an integer number (41687808).

Almost surely, 2^3875283216 is an apocalyptic number.

3875283216 is a gapful number since it is divisible by the number (36) 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 3875283216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6670049280).

3875283216 is an abundant number, since it is smaller than the sum of its proper divisors (9464815344).

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

3875283216 is a wasteful number, since it uses less digits than its factorization.

3875283216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 727 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 3875283216 is about 62251.7727940337. The cubic root of 3875283216 is about 1570.7285914683.

The spelling of 3875283216 in words is "three billion, eight hundred seventy-five million, two hundred eighty-three thousand, two hundred sixteen".