3992924160 has 520 divisors, whose sum is σ = 14985598320. Its totient is φ = 1015676928.

The previous prime is 3992924141. The next prime is 3992924167. The reversal of 3992924160 is 614292993.

It is a happy number.

3992924160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3992924167) 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, 48107479 + ... + 48107561.

Almost surely, 2^3992924160 is an apocalyptic number.

3992924160 is a gapful number since it is divisible by the number (30) 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 3992924160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7492799160).

3992924160 is an abundant number, since it is smaller than the sum of its proper divisors (10992674160).

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

3992924160 is an equidigital number, since it uses as much as digits as its factorization.

3992924160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 3992924160 is about 63189.5890159131. The cubic root of 3992924160 is about 1586.4644831784.

The spelling of 3992924160 in words is "three billion, nine hundred ninety-two million, nine hundred twenty-four thousand, one hundred sixty".