3373670999952 has 960 divisors, whose sum is σ = 11506138560000. Its totient is φ = 943204331520.

The previous prime is 3373670999921. The next prime is 3373671000047. The reversal of 3373670999952 is 2599990763733.

3373670999952 is a `hidden beast` number, since 337 + 3 + 6 + 70 + 99 + 99 + 52 = 666.

3373670999952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3373670999952² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6628037074 + ... + 6628037582.

It is an arithmetic number, because the mean of its divisors is an integer number (11985561000).

Almost surely, 2^{3373670999952} 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 3373670999952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5753069280000).

3373670999952 is an abundant number, since it is smaller than the sum of its proper divisors (8132467560048).

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

3373670999952 is a wasteful number, since it uses less digits than its factorization.

3373670999952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 520812180, while the sum is 72.

The spelling of 3373670999952 in words is "three trillion, three hundred seventy-three billion, six hundred seventy million, nine hundred ninety-nine thousand, nine hundred fifty-two".