3924832144320 has 672 divisors, whose sum is σ = 14240241759744. Its totient is φ = 990261043200.

The previous prime is 3924832144291. The next prime is 3924832144349. The reversal of 3924832144320 is 234412384293.

3924832144320 is a `hidden beast` number, since 3 + 9 + 2 + 483 + 2 + 144 + 3 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (3924832144291) and next prime (3924832144349).

It is a super-2 number, since 2×3924832144320² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

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, 3844105410 + ... + 3844106430.

It is an arithmetic number, because the mean of its divisors is an integer number (21190835952).

Almost surely, 2^{3924832144320} is an apocalyptic number.

3924832144320 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 3924832144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7120120879872).

3924832144320 is an abundant number, since it is smaller than the sum of its proper divisors (10315409615424).

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

3924832144320 is a wasteful number, since it uses less digits than its factorization.

3924832144320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 3924832144320 in words is "three trillion, nine hundred twenty-four billion, eight hundred thirty-two million, one hundred forty-four thousand, three hundred twenty".