3875621452800 has 528 divisors, whose sum is σ = 13068527489280. Its totient is φ = 1012685864960.

The previous prime is 3875621452783. The next prime is 3875621452849. The reversal of 3875621452800 is 82541265783.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1599512389 + ... + 1599514811.

Almost surely, 2^{3875621452800} is an apocalyptic number.

3875621452800 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 3875621452800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6534263744640).

3875621452800 is an abundant number, since it is smaller than the sum of its proper divisors (9192906036480).

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

3875621452800 is a wasteful number, since it uses less digits than its factorization.

3875621452800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2868 (or 2845 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 51.

The spelling of 3875621452800 in words is "three trillion, eight hundred seventy-five billion, six hundred twenty-one million, four hundred fifty-two thousand, eight hundred".