3373967520000 has 4320 divisors, whose sum is σ = 16735003084800. Its totient is φ = 670602240000.

The previous prime is 3373967519983. The next prime is 3373967520019. The reversal of 3373967520000 is 257693733.

3373967520000 is a `hidden beast` number, since 3 + 37 + 3 + 96 + 7 + 520 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a super-2 number, since 2×3373967520000² (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 an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 146694239989 + ... + 146694240011.

Almost surely, 2^{3373967520000} is an apocalyptic number.

3373967520000 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 3373967520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8367501542400).

3373967520000 is an abundant number, since it is smaller than the sum of its proper divisors (13361035564800).

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

3373967520000 is an frugal number, since it uses more digits than its factorization.

3373967520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 714420, while the sum is 45.

The spelling of 3373967520000 in words is "three trillion, three hundred seventy-three billion, nine hundred sixty-seven million, five hundred twenty thousand".