3361972320000 has 3240 divisors, whose sum is σ = 15330458183040. Its totient is φ = 704471040000.

The previous prime is 3361972319989. The next prime is 3361972320043. The reversal of 3361972320000 is 232791633.

3361972320000 is a `hidden beast` number, since 3 + 3 + 619 + 7 + 2 + 32 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×3361972320000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 63433439974 + ... + 63433440026.

It is an arithmetic number, because the mean of its divisors is an integer number (4731622896).

Almost surely, 2^{3361972320000} is an apocalyptic number.

3361972320000 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 3361972320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7665229091520).

3361972320000 is an abundant number, since it is smaller than the sum of its proper divisors (11968485863040).

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

3361972320000 is a wasteful number, since it uses less digits than its factorization.

3361972320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The spelling of 3361972320000 in words is "three trillion, three hundred sixty-one billion, nine hundred seventy-two million, three hundred twenty thousand".