3773496000960 has 672 divisors, whose sum is σ = 15615558466560. Its totient is φ = 817700438016.

The previous prime is 3773496000959. The next prime is 3773496000973. The reversal of 3773496000960 is 690006943773.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×3773496000960² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3773496000897 and 3773496000906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52359831 + ... + 52431849.

Almost surely, 2^{3773496000960} is an apocalyptic number.

3773496000960 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 3773496000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7807779233280).

3773496000960 is an abundant number, since it is smaller than the sum of its proper divisors (11842062465600).

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

3773496000960 is a wasteful number, since it uses less digits than its factorization.

3773496000960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72185 (or 72172 counting only the distinct ones).

The product of its (nonzero) digits is 5143824, while the sum is 54.

The spelling of 3773496000960 in words is "three trillion, seven hundred seventy-three billion, four hundred ninety-six million, nine hundred sixty", and thus it is an aban number.