3331261296 has 80 divisors (see below), whose sum is σ = 10431237120. Its totient is φ = 1009471680.

The previous prime is 3331261277. The next prime is 3331261303. The reversal of 3331261296 is 6921621333.

It is a happy number.

3331261296 is a `hidden beast` number, since 3 + 3 + 31 + 2 + 612 + 9 + 6 = 666.

It is a super-2 number, since 2×3331261296² = 22194603644455199232, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3331261296.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 345760 + ... + 355263.

It is an arithmetic number, because the mean of its divisors is an integer number (130390464).

Almost surely, 2^3331261296 is an apocalyptic number.

3331261296 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3331261296 is an abundant number, since it is smaller than the sum of its proper divisors (7099975824).

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

3331261296 is a wasteful number, since it uses less digits than its factorization.

3331261296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701051 (or 701039 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The square root of 3331261296 is about 57717.0797598077. The cubic root of 3331261296 is about 1493.4919967649.

The spelling of 3331261296 in words is "three billion, three hundred thirty-one million, two hundred sixty-one thousand, two hundred ninety-six".