3366831312 has 320 divisors, whose sum is σ = 11082624000. Its totient is φ = 970071552.

The previous prime is 3366831311. The next prime is 3366831337. The reversal of 3366831312 is 2131386633.

3366831312 is a `hidden beast` number, since 336 + 6 + 8 + 3 + 1 + 312 = 666.

It is a super-2 number, since 2×3366831312² = 22671106166927282688, 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (3366831311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14831743 + ... + 14831969.

It is an arithmetic number, because the mean of its divisors is an integer number (34633200).

Almost surely, 2^3366831312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3366831312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5541312000).

3366831312 is an abundant number, since it is smaller than the sum of its proper divisors (7715792688).

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

3366831312 is a wasteful number, since it uses less digits than its factorization.

3366831312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 403 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 3366831312 is about 58024.4027285073. The cubic root of 3366831312 is about 1498.7888463344.

It can be divided in two parts, 33668 and 31312, that added together give a triangular number (64980 = T₃₆₀).

The spelling of 3366831312 in words is "three billion, three hundred sixty-six million, eight hundred thirty-one thousand, three hundred twelve".