3973761792 has 432 divisors, whose sum is σ = 15392203008. Its totient is φ = 952197120.

The previous prime is 3973761767. The next prime is 3973761793. The reversal of 3973761792 is 2971673793.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3973761793) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2305443 + ... + 2307165.

Almost surely, 2^3973761792 is an apocalyptic number.

3973761792 is a gapful number since it is divisible by the number (32) 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 3973761792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7696101504).

3973761792 is an abundant number, since it is smaller than the sum of its proper divisors (11418441216).

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

3973761792 is a wasteful number, since it uses less digits than its factorization.

3973761792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1776 (or 1759 counting only the distinct ones).

The product of its digits is 3000564, while the sum is 54.

The square root of 3973761792 is about 63037.7806715941. The cubic root of 3973761792 is about 1583.9225551362.

The spelling of 3973761792 in words is "three billion, nine hundred seventy-three million, seven hundred sixty-one thousand, seven hundred ninety-two".