3164737536 has 117 divisors (see below), whose sum is σ = 9172765069. Its totient is φ = 1051312128.

The previous prime is 3164737529. The next prime is 3164737553. The reversal of 3164737536 is 6357374613.

It is a happy number.

The square root of 3164737536 is 56256.

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

It can be written as a sum of positive squares in only one way, i.e., 2994278400 + 170459136 = 54720^2 + 13056^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3164737491 and 3164737500.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10801006 + ... + 10801298.

Almost surely, 2^3164737536 is an apocalyptic number.

3164737536 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3164737536 is the 56256-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3164737536

3164737536 is an abundant number, since it is smaller than the sum of its proper divisors (6008027533).

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

3164737536 is an frugal number, since it uses more digits than its factorization.

3164737536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 298 counting only the distinct ones).

The product of its digits is 952560, while the sum is 45.

The cubic root of 3164737536 is about 1468.1797600529.

The spelling of 3164737536 in words is "three billion, one hundred sixty-four million, seven hundred thirty-seven thousand, five hundred thirty-six".