38324875680 has 1152 divisors, whose sum is σ = 177125356800. Its totient is φ = 7650091008.

The previous prime is 38324875669. The next prime is 38324875691. The reversal of 38324875680 is 8657842383.

38324875680 is a `hidden beast` number, since 3 + 8 + 32 + 48 + 7 + 568 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (38324875669) and next prime (38324875691).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 52284594 + ... + 52285326.

It is an arithmetic number, because the mean of its divisors is an integer number (153754650).

Almost surely, 2^38324875680 is an apocalyptic number.

38324875680 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 38324875680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88562678400).

38324875680 is an abundant number, since it is smaller than the sum of its proper divisors (138800481120).

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

38324875680 is a wasteful number, since it uses less digits than its factorization.

38324875680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 38324875680 in words is "thirty-eight billion, three hundred twenty-four million, eight hundred seventy-five thousand, six hundred eighty".