3390400080 has 60 divisors (see below), whose sum is σ = 11386096020. Its totient is φ = 904106496.

The previous prime is 3390400061. The next prime is 3390400081. The reversal of 3390400080 is 800040933.

It can be written as a sum of positive squares in 2 ways, for example, as 1972425744 + 1417974336 = 44412^2 + 37656^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×3390400080² = 22989625404928012800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3390400081) 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 11 ways as a sum of consecutive naturals, for example, 2353725 + ... + 2355164.

It is an arithmetic number, because the mean of its divisors is an integer number (189768267).

Almost surely, 2^3390400080 is an apocalyptic number.

3390400080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3390400080 is an abundant number, since it is smaller than the sum of its proper divisors (7995695940).

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

3390400080 is a wasteful number, since it uses less digits than its factorization.

3390400080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4708908 (or 4708899 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3390400080 is about 58227.1421246140. The cubic root of 3390400080 is about 1502.2780319622.

The spelling of 3390400080 in words is "three billion, three hundred ninety million, four hundred thousand, eighty".