3364415520 has 48 divisors (see below), whose sum is σ = 10597910400. Its totient is φ = 897177344.

The previous prime is 3364415497. The next prime is 3364415521. The reversal of 3364415520 is 255144633.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×3364415520³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (3364415521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3504120 + ... + 3505079.

It is an arithmetic number, because the mean of its divisors is an integer number (220789800).

Almost surely, 2^3364415520 is an apocalyptic number.

3364415520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3364415520 is an abundant number, since it is smaller than the sum of its proper divisors (7233494880).

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

3364415520 is a wasteful number, since it uses less digits than its factorization.

3364415520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7009217 (or 7009209 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The square root of 3364415520 is about 58003.5819583584. The cubic root of 3364415520 is about 1498.4302867955.

The spelling of 3364415520 in words is "three billion, three hundred sixty-four million, four hundred fifteen thousand, five hundred twenty".