3752867821824 has 405 divisors, whose sum is σ = 12310227425419. Its totient is φ = 1136302801920.

The previous prime is 3752867821819. The next prime is 3752867821877. The reversal of 3752867821824 is 4281287682573.

The square root of 3752867821824 is 1937232.

It is a perfect power (a square), and thus also a powerful number.

3752867821824 is a `hidden beast` number, since 3 + 7 + 528 + 6 + 7 + 8 + 21 + 82 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3068574877 + ... + 3068576099.

Almost surely, 2^{3752867821824} is an apocalyptic number.

3752867821824 is the 1937232-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3752867821824

3752867821824 is an abundant number, since it is smaller than the sum of its proper divisors (8557359603595).

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

3752867821824 is an frugal number, since it uses more digits than its factorization.

3752867821824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2496 (or 1239 counting only the distinct ones).

The product of its digits is 72253440, while the sum is 63.

The spelling of 3752867821824 in words is "three trillion, seven hundred fifty-two billion, eight hundred sixty-seven million, eight hundred twenty-one thousand, eight hundred twenty-four".