38444757120 has 1536 divisors, whose sum is σ = 177577920000. Its totient is φ = 7586611200.

The previous prime is 38444757119. The next prime is 38444757161. The reversal of 38444757120 is 2175744483.

38444757120 is a `hidden beast` number, since 3 + 84 + 447 + 5 + 7 + 120 = 666.

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

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, 630241890 + ... + 630241950.

It is an arithmetic number, because the mean of its divisors is an integer number (115610625).

Almost surely, 2^38444757120 is an apocalyptic number.

38444757120 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 38444757120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88788960000).

38444757120 is an abundant number, since it is smaller than the sum of its proper divisors (139133162880).

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

38444757120 is a wasteful number, since it uses less digits than its factorization.

38444757120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 38444757120 in words is "thirty-eight billion, four hundred forty-four million, seven hundred fifty-seven thousand, one hundred twenty".