3990360672 has 240 divisors, whose sum is σ = 12355846272. Its totient is φ = 1261578240.

The previous prime is 3990360653. The next prime is 3990360679. The reversal of 3990360672 is 2760630993.

3990360672 is a `hidden beast` number, since 39 + 9 + 0 + 3 + 606 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3990360679) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4258188 + ... + 4259124.

Almost surely, 2^3990360672 is an apocalyptic number.

3990360672 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 3990360672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6177923136).

3990360672 is an abundant number, since it is smaller than the sum of its proper divisors (8365485600).

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

3990360672 is a wasteful number, since it uses less digits than its factorization.

3990360672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 45.

The square root of 3990360672 is about 63169.3016583213. The cubic root of 3990360672 is about 1586.1249030331.

The spelling of 3990360672 in words is "three billion, nine hundred ninety million, three hundred sixty thousand, six hundred seventy-two".