3297904961 has 16 divisors (see below), whose sum is σ = 3679807488. Its totient is φ = 2935051200.

The previous prime is 3297904943. The next prime is 3297904991. The reversal of 3297904961 is 1694097923.

It is a cyclic number.

It is not a de Polignac number, because 3297904961 - 2¹⁰ = 3297903937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3297904901) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94115 + ... + 124311.

It is an arithmetic number, because the mean of its divisors is an integer number (229987968).

Almost surely, 2^3297904961 is an apocalyptic number.

3297904961 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

3297904961 is a deficient number, since it is larger than the sum of its proper divisors (381902527).

3297904961 is a wasteful number, since it uses less digits than its factorization.

3297904961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30512.

The product of its (nonzero) digits is 734832, while the sum is 50.

The square root of 3297904961 is about 57427.3885963832. The cubic root of 3297904961 is about 1488.4904250755.

The spelling of 3297904961 in words is "three billion, two hundred ninety-seven million, nine hundred four thousand, nine hundred sixty-one".