3312729368640 has 1120 divisors, whose sum is σ = 12572977469184. Its totient is φ = 826181959680.

The previous prime is 3312729368621. The next prime is 3312729368671. The reversal of 3312729368640 is 468639272133.

3312729368640 is a `hidden beast` number, since 3 + 3 + 1 + 272 + 9 + 368 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7868715630 + ... + 7868716050.

Almost surely, 2^{3312729368640} is an apocalyptic number.

3312729368640 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 3312729368640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6286488734592).

3312729368640 is an abundant number, since it is smaller than the sum of its proper divisors (9260248100544).

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

3312729368640 is a wasteful number, since it uses less digits than its factorization.

3312729368640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 3312729368640 in words is "three trillion, three hundred twelve billion, seven hundred twenty-nine million, three hundred sixty-eight thousand, six hundred forty".