3924832320 has 280 divisors, whose sum is σ = 14229719064. Its totient is φ = 1026514944.

The previous prime is 3924832291. The next prime is 3924832349. The reversal of 3924832320 is 232384293.

It is an interprime number because it is at equal distance from previous prime (3924832291) and next prime (3924832349).

It can be written as a sum of positive squares in 4 ways, for example, as 985457664 + 2939374656 = 31392^2 + 54216^2 .

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 39 ways as a sum of consecutive naturals, for example, 1372332 + ... + 1375188.

Almost surely, 2^3924832320 is an apocalyptic number.

3924832320 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 3924832320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7114859532).

3924832320 is an abundant number, since it is smaller than the sum of its proper divisors (10304886744).

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

3924832320 is a wasteful number, since it uses less digits than its factorization.

3924832320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2939 (or 2920 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 3924832320 is about 62648.4821843275. The cubic root of 3924832320 is about 1577.3946701623.

The spelling of 3924832320 in words is "three billion, nine hundred twenty-four million, eight hundred thirty-two thousand, three hundred twenty".