3892736892004 has 27 divisors (see below), whose sum is σ = 6982785698763. Its totient is φ = 1898817124800.

The previous prime is 3892736891983. The next prime is 3892736892013. The reversal of 3892736892004 is 4002986372983.

The square root of 3892736892004 is 1973002.

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

It can be written as a sum of positive squares in 4 ways, for example, as 80090132004 + 3812646760000 = 283002^2 + 1952600^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 161774134 + ... + 161798194.

Almost surely, 2^{3892736892004} is an apocalyptic number.

3892736892004 is the 1973002-nd square number.

It is an amenable number.

3892736892004 is a deficient number, since it is larger than the sum of its proper divisors (3090048806759).

3892736892004 is an frugal number, since it uses more digits than its factorization.

3892736892004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48208 (or 24104 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 61.

The spelling of 3892736892004 in words is "three trillion, eight hundred ninety-two billion, seven hundred thirty-six million, eight hundred ninety-two thousand, four".