3992847120 has 360 divisors, whose sum is σ = 14727747840. Its totient is φ = 968232960.

The previous prime is 3992847113. The next prime is 3992847121. The reversal of 3992847120 is 217482993.

3992847120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (3992847121) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6450171 + ... + 6450789.

Almost surely, 2^3992847120 is an apocalyptic number.

3992847120 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 3992847120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7363873920).

3992847120 is an abundant number, since it is smaller than the sum of its proper divisors (10734900720).

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

3992847120 is a wasteful number, since it uses less digits than its factorization.

3992847120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 3992847120 is about 63188.9794188828. The cubic root of 3992847120 is about 1586.4542799618.

The spelling of 3992847120 in words is "three billion, nine hundred ninety-two million, eight hundred forty-seven thousand, one hundred twenty".