3364153408 has 84 divisors (see below), whose sum is σ = 8471714832. Its totient is φ = 1310695680.

The previous prime is 3364153399. The next prime is 3364153411. The reversal of 3364153408 is 8043514633.

It is a super-2 number, since 2×3364153408² = 22635056305116028928, which contains 22 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14266 + ... + 83257.

It is an arithmetic number, because the mean of its divisors is an integer number (100853748).

Almost surely, 2^3364153408 is an apocalyptic number.

It is an amenable number.

3364153408 is an abundant number, since it is smaller than the sum of its proper divisors (5107561424).

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

3364153408 is a wasteful number, since it uses less digits than its factorization.

3364153408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97560 (or 97543 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

The square root of 3364153408 is about 58001.3224676817. The cubic root of 3364153408 is about 1498.3913729776.

The spelling of 3364153408 in words is "three billion, three hundred sixty-four million, one hundred fifty-three thousand, four hundred eight".