3332620942560 has 2304 divisors, whose sum is σ = 15825481297920. Its totient is φ = 636552069120.

The previous prime is 3332620942489. The next prime is 3332620942591. The reversal of 3332620942560 is 652490262333.

3332620942560 is a `hidden beast` number, since 3 + 3 + 3 + 26 + 20 + 9 + 42 + 560 = 666.

It is a super-2 number, since 2×3332620942560² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3264074850 + ... + 3264075870.

It is an arithmetic number, because the mean of its divisors is an integer number (6868698480).

Almost surely, 2^{3332620942560} is an apocalyptic number.

3332620942560 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 3332620942560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7912740648960).

3332620942560 is an abundant number, since it is smaller than the sum of its proper divisors (12492860355360).

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

3332620942560 is a wasteful number, since it uses less digits than its factorization.

3332620942560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 45.

The spelling of 3332620942560 in words is "three trillion, three hundred thirty-two billion, six hundred twenty million, nine hundred forty-two thousand, five hundred sixty".