3390309504 has 48 divisors (see below), whose sum is σ = 9755972070. Its totient is φ = 1130102784.

The previous prime is 3390309491. The next prime is 3390309509. The reversal of 3390309504 is 4059030933.

It is a happy number.

3390309504 is a `hidden beast` number, since 33 + 90 + 30 + 9 + 504 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3387240000 + 3069504 = 58200^2 + 1752^2 .

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

It is a super-2 number, since 2×3390309504² = 22988397065825452032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3390309509) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1470337 + ... + 1472640.

Almost surely, 2^3390309504 is an apocalyptic number.

It is an amenable number.

3390309504 is an abundant number, since it is smaller than the sum of its proper divisors (6365662566).

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

3390309504 is a wasteful number, since it uses less digits than its factorization.

3390309504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2942997 (or 2942982 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 36.

The square root of 3390309504 is about 58226.3643378152. The cubic root of 3390309504 is about 1502.2646538413.

The spelling of 3390309504 in words is "three billion, three hundred ninety million, three hundred nine thousand, five hundred four".