3875613239520 has 1152 divisors, whose sum is σ = 15287585144832. Its totient is φ = 885369139200.

The previous prime is 3875613239431. The next prime is 3875613239627. The reversal of 3875613239520 is 259323165783.

3875613239520 is a `hidden beast` number, since 3 + 8 + 7 + 56 + 1 + 32 + 39 + 520 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7085215887 + ... + 7085216433.

It is an arithmetic number, because the mean of its divisors is an integer number (13270473216).

Almost surely, 2^{3875613239520} is an apocalyptic number.

3875613239520 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 3875613239520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7643792572416).

3875613239520 is an abundant number, since it is smaller than the sum of its proper divisors (11411971905312).

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

3875613239520 is a wasteful number, since it uses less digits than its factorization.

3875613239520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 3875613239520 in words is "three trillion, eight hundred seventy-five billion, six hundred thirteen million, two hundred thirty-nine thousand, five hundred twenty".