3875915366400 has 2448 divisors, whose sum is σ = 17292983456000. Its totient is φ = 762996326400.

The previous prime is 3875915366399. The next prime is 3875915366429. The reversal of 3875915366400 is 46635195783.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 203995545591 + ... + 203995545609.

Almost surely, 2^{3875915366400} is an apocalyptic number.

3875915366400 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 3875915366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8646491728000).

3875915366400 is an abundant number, since it is smaller than the sum of its proper divisors (13417068089600).

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

3875915366400 is an equidigital number, since it uses as much as digits as its factorization.

3875915366400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 57.

The spelling of 3875915366400 in words is "three trillion, eight hundred seventy-five billion, nine hundred fifteen million, three hundred sixty-six thousand, four hundred".