38324928720 has 320 divisors, whose sum is σ = 131741568000. Its totient is φ = 9158123520.

The previous prime is 38324928689. The next prime is 38324928749. The reversal of 38324928720 is 2782942383.

It is a super-2 number, since 2×38324928720² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 38324928720.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15034006 + ... + 15036554.

It is an arithmetic number, because the mean of its divisors is an integer number (411692400).

Almost surely, 2^38324928720 is an apocalyptic number.

38324928720 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 38324928720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65870784000).

38324928720 is an abundant number, since it is smaller than the sum of its proper divisors (93416639280).

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

38324928720 is a wasteful number, since it uses less digits than its factorization.

38324928720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2718 (or 2712 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 38324928720 in words is "thirty-eight billion, three hundred twenty-four million, nine hundred twenty-eight thousand, seven hundred twenty".