3875079003552 has 96 divisors (see below), whose sum is σ = 11309395003200. Its totient is φ = 1290883716864.

The previous prime is 3875079003541. The next prime is 3875079003553. The reversal of 3875079003552 is 2553009705783.

3875079003552 is a `hidden beast` number, since 3 + 87 + 5 + 0 + 7 + 9 + 0 + 0 + 3 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3875079003552² (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3875079003553) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24402 + ... + 2784017.

It is an arithmetic number, because the mean of its divisors is an integer number (117806197950).

Almost surely, 2^{3875079003552} is an apocalyptic number.

3875079003552 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 3875079003552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5654697501600).

3875079003552 is an abundant number, since it is smaller than the sum of its proper divisors (7434315999648).

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

3875079003552 is a wasteful number, since it uses less digits than its factorization.

3875079003552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2810035 (or 2810021 counting only the distinct ones).

The product of its (nonzero) digits is 7938000, while the sum is 54.

The spelling of 3875079003552 in words is "three trillion, eight hundred seventy-five billion, seventy-nine million, three thousand, five hundred fifty-two".