3308005166400 has 1008 divisors, whose sum is σ = 13716367149888. Its totient is φ = 747233280000.

The previous prime is 3308005166393. The next prime is 3308005166447. The reversal of 3308005166400 is 46615008033.

3308005166400 is a `hidden beast` number, since 3 + 3 + 0 + 8 + 0 + 0 + 5 + 1 + 6 + 640 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 271966719 + ... + 271978881.

Almost surely, 2^{3308005166400} is an apocalyptic number.

3308005166400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3308005166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6858183574944).

3308005166400 is an abundant number, since it is smaller than the sum of its proper divisors (10408361983488).

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

3308005166400 is a wasteful number, since it uses less digits than its factorization.

3308005166400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12320 (or 12302 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 3308005166400 in words is "three trillion, three hundred eight billion, five million, one hundred sixty-six thousand, four hundred".