3992460160 has 128 divisors (see below), whose sum is σ = 10633744800. Its totient is φ = 1423220736.

The previous prime is 3992460127. The next prime is 3992460163. The reversal of 3992460160 is 610642993.

3992460160 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 (128).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3992460163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 233007 + ... + 249553.

Almost surely, 2^3992460160 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 3992460160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5316872400).

3992460160 is an abundant number, since it is smaller than the sum of its proper divisors (6641284640).

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

3992460160 is a wasteful number, since it uses less digits than its factorization.

3992460160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16608 (or 16596 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 40.

The square root of 3992460160 is about 63185.9174183615. The cubic root of 3992460160 is about 1586.4030287984.

The spelling of 3992460160 in words is "three billion, nine hundred ninety-two million, four hundred sixty thousand, one hundred sixty".