3942630720 has 896 divisors, whose sum is σ = 17322393600. Its totient is φ = 824131584.

The previous prime is 3942630709. The next prime is 3942630743. The reversal of 3942630720 is 270362493.

It is a happy number.

3942630720 is a `hidden beast` number, since 394 + 263 + 0 + 7 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 54008604 + ... + 54008676.

Almost surely, 2^3942630720 is an apocalyptic number.

3942630720 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 3942630720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8661196800).

3942630720 is an abundant number, since it is smaller than the sum of its proper divisors (13379762880).

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

3942630720 is a wasteful number, since it uses less digits than its factorization.

3942630720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 3942630720 is about 62790.3712363608. The cubic root of 3942630720 is about 1579.7754741573.

The spelling of 3942630720 in words is "three billion, nine hundred forty-two million, six hundred thirty thousand, seven hundred twenty".