3892262544 has 75 divisors (see below), whose sum is σ = 11271841273. Its totient is φ = 1296672192.

The previous prime is 3892262533. The next prime is 3892262573. The reversal of 3892262544 is 4452622983.

The square root of 3892262544 is 62388.

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

3892262544 is a `hidden beast` number, since 3 + 89 + 2 + 26 + 2 + 544 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1728896400 + 2163366144 = 41580^2 + 46512^2 .

It is a super-2 number, since 2×3892262544² = 30299415422850703872, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3892262544.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2245102 + ... + 2246834.

Almost surely, 2^3892262544 is an apocalyptic number.

3892262544 is the 62388-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3892262544

3892262544 is an abundant number, since it is smaller than the sum of its proper divisors (7379578729).

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

3892262544 is an frugal number, since it uses more digits than its factorization.

3892262544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3486 (or 1738 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The cubic root of 3892262544 is about 1573.0192678834.

The spelling of 3892262544 in words is "three billion, eight hundred ninety-two million, two hundred sixty-two thousand, five hundred forty-four".