38253720960 has 1792 divisors, whose sum is σ = 182052178560. Its totient is φ = 7453016064.

The previous prime is 38253720949. The next prime is 38253720971. The reversal of 38253720960 is 6902735283.

38253720960 is a `hidden beast` number, since 3 + 8 + 2 + 537 + 20 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (38253720949) and next prime (38253720971).

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 223 ways as a sum of consecutive naturals, for example, 721768294 + ... + 721768346.

Almost surely, 2^38253720960 is an apocalyptic number.

38253720960 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 38253720960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91026089280).

38253720960 is an abundant number, since it is smaller than the sum of its proper divisors (143798457600).

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

38253720960 is a wasteful number, since it uses less digits than its factorization.

38253720960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 38253720960 in words is "thirty-eight billion, two hundred fifty-three million, seven hundred twenty thousand, nine hundred sixty".