3312016646400 has 3240 divisors, whose sum is σ = 16233892283840. Its totient is φ = 650347315200.

The previous prime is 3312016646383. The next prime is 3312016646423. The reversal of 3312016646400 is 46466102133.

3312016646400 is a `hidden beast` number, since 3 + 3 + 1 + 2 + 0 + 1 + 6 + 6 + 4 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 8342611002 + ... + 8342611398.

Almost surely, 2^{3312016646400} is an apocalyptic number.

3312016646400 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 3312016646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8116946141920).

3312016646400 is an abundant number, since it is smaller than the sum of its proper divisors (12921875637440).

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

3312016646400 is a wasteful number, since it uses less digits than its factorization.

3312016646400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 3312016646400 in words is "three trillion, three hundred twelve billion, sixteen million, six hundred forty-six thousand, four hundred".