3337257361 has 9 divisors (see below), whose sum is σ = 3423068593. Its totient is φ = 3253550080.

The previous prime is 3337257349. The next prime is 3337257373. The reversal of 3337257361 is 1637527333.

The square root of 3337257361 is 57769.

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

It is an interprime number because it is at equal distance from previous prime (3337257349) and next prime (3337257373).

It can be written as a sum of positive squares in 4 ways, for example, as 2977775761 + 359481600 = 54569^2 + 18960^2 .

It is not a de Polignac number, because 3337257361 - 2⁹ = 3337256849 is a prime.

It is a super-2 number, since 2×3337257361² = 22274573387097368642, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3337257961) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2367825 + ... + 2369233.

Almost surely, 2^3337257361 is an apocalyptic number.

3337257361 is the 57769-th square number.

3337257361 is the 28885-th centered octagonal number.

It is an amenable number.

3337257361 is a deficient number, since it is larger than the sum of its proper divisors (85811232).

3337257361 is an frugal number, since it uses more digits than its factorization.

3337257361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2900 (or 1450 counting only the distinct ones).

The product of its digits is 238140, while the sum is 40.

The cubic root of 3337257361 is about 1494.3875241943.

The spelling of 3337257361 in words is "three billion, three hundred thirty-seven million, two hundred fifty-seven thousand, three hundred sixty-one".