3792998664 has 336 divisors, whose sum is σ = 13371040620. Its totient is φ = 999371520.

The previous prime is 3792998641. The next prime is 3792998681. The reversal of 3792998664 is 4668992973.

It can be written as a sum of positive squares in 2 ways, for example, as 3703696164 + 89302500 = 60858^2 + 9450^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 3714474 + ... + 3715494.

Almost surely, 2^3792998664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3792998664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6685520310).

3792998664 is an abundant number, since it is smaller than the sum of its proper divisors (9578041956).

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

3792998664 is a wasteful number, since it uses less digits than its factorization.

3792998664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1046 counting only the distinct ones).

The product of its digits is 35271936, while the sum is 63.

The square root of 3792998664 is about 61587.3255142647. The cubic root of 3792998664 is about 1559.5317825605.

The spelling of 3792998664 in words is "three billion, seven hundred ninety-two million, nine hundred ninety-eight thousand, six hundred sixty-four".