3874852760400 has 1200 divisors, whose sum is σ = 14519660557248. Its totient is φ = 989107200000.

The previous prime is 3874852760369. The next prime is 3874852760413. The reversal of 3874852760400 is 40672584783.

3874852760400 is a `hidden beast` number, since 3 + 8 + 7 + 4 + 8 + 5 + 27 + 604 + 0 + 0 = 666.

3874852760400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 15437660275 + ... + 15437660525.

Almost surely, 2^{3874852760400} is an apocalyptic number.

3874852760400 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 3874852760400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7259830278624).

3874852760400 is an abundant number, since it is smaller than the sum of its proper divisors (10644807796848).

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

3874852760400 is a wasteful number, since it uses less digits than its factorization.

3874852760400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 3874852760400 in words is "three trillion, eight hundred seventy-four billion, eight hundred fifty-two million, seven hundred sixty thousand, four hundred".