3794973145920 has 1568 divisors, whose sum is σ = 15289340926464. Its totient is φ = 888852787200.

The previous prime is 3794973145891. The next prime is 3794973145937. The reversal of 3794973145920 is 295413794973.

3794973145920 is a `hidden beast` number, since 3 + 7 + 9 + 4 + 9 + 7 + 31 + 4 + 592 + 0 = 666.

It is a super-2 number, since 2×3794973145920² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 17985654615 + ... + 17985654825.

Almost surely, 2^{3794973145920} is an apocalyptic number.

3794973145920 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 3794973145920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7644670463232).

3794973145920 is an abundant number, since it is smaller than the sum of its proper divisors (11494367780544).

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

3794973145920 is a wasteful number, since it uses less digits than its factorization.

3794973145920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 63.

The spelling of 3794973145920 in words is "three trillion, seven hundred ninety-four billion, nine hundred seventy-three million, one hundred forty-five thousand, nine hundred twenty".