37064335441 has 15 divisors (see below), whose sum is σ = 43250159771. Its totient is φ = 31761344496.

The previous prime is 37064335409. The next prime is 37064335463. The reversal of 37064335441 is 14453346073.

The square root of 37064335441 is 192521.

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., 5252045841 + 31812289600 = 72471^2 + 178360^2 .

It is not a de Polignac number, because 37064335441 - 2⁵ = 37064335409 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 37064335394 and 37064335403.

It is not an unprimeable number, because it can be changed into a prime (37064335141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 9431565 + ... + 9435493.

Almost surely, 2^37064335441 is an apocalyptic number.

37064335441 is the 192521-st square number.

37064335441 is the 96261-st centered octagonal number.

It is an amenable number.

37064335441 is a deficient number, since it is larger than the sum of its proper divisors (6185824330).

37064335441 is an frugal number, since it uses more digits than its factorization.

37064335441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7886 (or 3936 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 40.

The spelling of 37064335441 in words is "thirty-seven billion, sixty-four million, three hundred thirty-five thousand, four hundred forty-one".