3992369472 has 756 divisors, whose sum is σ = 15430536576. Its totient is φ = 1018967040.

The previous prime is 3992369453. The next prime is 3992369519. The reversal of 3992369472 is 2749632993.

3992369472 is a `hidden beast` number, since 3 + 99 + 23 + 69 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (756).

It is a Harshad number since it is a multiple of its sum of digits (54).

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

Its product of digits (4408992) is a multiple of the sum of its prime divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 128786097 + ... + 128786127.

Almost surely, 2^3992369472 is an apocalyptic number.

3992369472 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 3992369472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7715268288).

3992369472 is an abundant number, since it is smaller than the sum of its proper divisors (11438167104).

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

3992369472 is a wasteful number, since it uses less digits than its factorization.

3992369472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 56 counting only the distinct ones).

The product of its digits is 4408992, while the sum is 54.

The square root of 3992369472 is about 63185.1997860258. The cubic root of 3992369472 is about 1586.3910170895.

The spelling of 3992369472 in words is "three billion, nine hundred ninety-two million, three hundred sixty-nine thousand, four hundred seventy-two".