3370721315328 has 240 divisors, whose sum is σ = 9970222318056. Its totient is φ = 1095639367680.

The previous prime is 3370721315251. The next prime is 3370721315363. The reversal of 3370721315328 is 8235131270733.

3370721315328 is a `hidden beast` number, since 3 + 3 + 7 + 0 + 7 + 2 + 1 + 315 + 328 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1695954034944 + 1674767280384 = 1302288^2 + 1294128^2 .

It is a super-2 number, since 2×3370721315328² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 648587226 + ... + 648592422.

Almost surely, 2^{3370721315328} 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 3370721315328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4985111159028).

3370721315328 is an abundant number, since it is smaller than the sum of its proper divisors (6599501002728).

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

3370721315328 is a wasteful number, since it uses less digits than its factorization.

3370721315328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8695 (or 8676 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 3370721315328 in words is "three trillion, three hundred seventy billion, seven hundred twenty-one million, three hundred fifteen thousand, three hundred twenty-eight".