3364315440 has 40 divisors (see below), whose sum is σ = 10429378608. Its totient is φ = 897150720.

The previous prime is 3364315387. The next prime is 3364315457. The reversal of 3364315440 is 445134633.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-4 number, since 4×3364315440⁴ (a number of 39 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7008751 + ... + 7009230.

Almost surely, 2^3364315440 is an apocalyptic number.

3364315440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3364315440 is an abundant number, since it is smaller than the sum of its proper divisors (7065063168).

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

3364315440 is a wasteful number, since it uses less digits than its factorization.

3364315440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14017997 (or 14017991 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 33.

The square root of 3364315440 is about 58002.7192466008. The cubic root of 3364315440 is about 1498.4154289013.

The spelling of 3364315440 in words is "three billion, three hundred sixty-four million, three hundred fifteen thousand, four hundred forty".