3679972992 has 128 divisors (see below), whose sum is σ = 10992744000. Its totient is φ = 1211784192.

The previous prime is 3679972987. The next prime is 3679973069. The reversal of 3679972992 is 2992799763.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 280434 + ... + 293262.

Almost surely, 2^3679972992 is an apocalyptic number.

3679972992 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 3679972992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5496372000).

3679972992 is an abundant number, since it is smaller than the sum of its proper divisors (7312771008).

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

3679972992 is a wasteful number, since it uses less digits than its factorization.

3679972992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12935 (or 12917 counting only the distinct ones).

The product of its digits is 23147208, while the sum is 63.

The square root of 3679972992 is about 60662.7809451561. The cubic root of 3679972992 is about 1543.8847489300.

The spelling of 3679972992 in words is "three billion, six hundred seventy-nine million, nine hundred seventy-two thousand, nine hundred ninety-two".