38725378560 has 960 divisors, whose sum is σ = 157983281280. Its totient is φ = 8913715200.

The previous prime is 38725378541. The next prime is 38725378583. The reversal of 38725378560 is 6587352783.

38725378560 is a `hidden beast` number, since 3 + 8 + 7 + 2 + 5 + 3 + 78 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a junction number, because it is equal to n+sod(n) for n = 38725378497 and 38725378506.

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, 730667494 + ... + 730667546.

It is an arithmetic number, because the mean of its divisors is an integer number (164565918).

Almost surely, 2^38725378560 is an apocalyptic number.

38725378560 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 38725378560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78991640640).

38725378560 is an abundant number, since it is smaller than the sum of its proper divisors (119257902720).

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

38725378560 is a wasteful number, since it uses less digits than its factorization.

38725378560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 38725378560 in words is "thirty-eight billion, seven hundred twenty-five million, three hundred seventy-eight thousand, five hundred sixty".