3992723460 has 288 divisors, whose sum is σ = 14001361920. Its totient is φ = 910828800.

The previous prime is 3992723453. The next prime is 3992723491. The reversal of 3992723460 is 643272993.

3992723460 is a `hidden beast` number, since 39 + 9 + 272 + 346 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7937569 + ... + 7938071.

It is an arithmetic number, because the mean of its divisors is an integer number (48615840).

Almost surely, 2^3992723460 is an apocalyptic number.

3992723460 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 3992723460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7000680960).

3992723460 is an abundant number, since it is smaller than the sum of its proper divisors (10008638460).

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

3992723460 is a wasteful number, since it uses less digits than its factorization.

3992723460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 3992723460 is about 63188.0009178958. Note that the first 3 decimals coincide. The cubic root of 3992723460 is about 1586.4379020944.

The spelling of 3992723460 in words is "three billion, nine hundred ninety-two million, seven hundred twenty-three thousand, four hundred sixty".