3992401920 has 288 divisors, whose sum is σ = 13848634800. Its totient is φ = 981467136.

The previous prime is 3992401913. The next prime is 3992401927. The reversal of 3992401920 is 291042993.

3992401920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3992401913) and next prime (3992401927).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3992401927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5191296 + ... + 5192064.

Almost surely, 2^3992401920 is an apocalyptic number.

3992401920 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 3992401920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6924317400).

3992401920 is an abundant number, since it is smaller than the sum of its proper divisors (9856232880).

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

3992401920 is a wasteful number, since it uses less digits than its factorization.

3992401920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 3992401920 is about 63185.4565544952. The cubic root of 3992401920 is about 1586.3953148778.

The spelling of 3992401920 in words is "three billion, nine hundred ninety-two million, four hundred one thousand, nine hundred twenty".