3900324805776 has 675 divisors, whose sum is σ = 13979937678267. Its totient is φ = 1046551726080.

The previous prime is 3900324805739. The next prime is 3900324805781. The reversal of 3900324805776 is 6775084230093.

The square root of 3900324805776 is 1974924.

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

3900324805776 is a `hidden beast` number, since 3 + 90 + 0 + 3 + 2 + 480 + 5 + 7 + 76 = 666.

3900324805776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 48620250000 + 3851704555776 = 220500^2 + 1962576^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 8460574186 + ... + 8460574646.

Almost surely, 2^{3900324805776} is an apocalyptic number.

3900324805776 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3900324805776 is the 1974924-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3900324805776

3900324805776 is an abundant number, since it is smaller than the sum of its proper divisors (10079612872491).

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

3900324805776 is an equidigital number, since it uses as much as digits as its factorization.

3900324805776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 3900324805776 in words is "three trillion, nine hundred billion, three hundred twenty-four million, eight hundred five thousand, seven hundred seventy-six".