3811982904900 has 243 divisors, whose sum is σ = 12056073647709. Its totient is φ = 1007453880000.

The previous prime is 3811982904679. The next prime is 3811982904929. The reversal of 3811982904900 is 94092891183.

The square root of 3811982904900 is 1952430.

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

3811982904900 is a `hidden beast` number, since 3 + 81 + 198 + 290 + 4 + 90 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1372313845764 + 2439669059136 = 1171458^2 + 1561944^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 8844507685 + ... + 8844508115.

Almost surely, 2^{3811982904900} is an apocalyptic number.

3811982904900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3811982904900 is the 1952430-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3811982904900

3811982904900 is an abundant number, since it is smaller than the sum of its proper divisors (8244090742809).

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

3811982904900 is a wasteful number, since it uses less digits than its factorization.

3811982904900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 3811982904900 in words is "three trillion, eight hundred eleven billion, nine hundred eighty-two million, nine hundred four thousand, nine hundred".