38157419520 has 704 divisors, whose sum is σ = 154505594880. Its totient is φ = 8839987200.

The previous prime is 38157419491. The next prime is 38157419537. The reversal of 38157419520 is 2591475183.

38157419520 is a `hidden beast` number, since 3 + 81 + 5 + 7 + 41 + 9 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

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 63 ways as a sum of consecutive naturals, for example, 34974175 + ... + 34975265.

Almost surely, 2^38157419520 is an apocalyptic number.

38157419520 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 38157419520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77252797440).

38157419520 is an abundant number, since it is smaller than the sum of its proper divisors (116348175360).

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

38157419520 is a wasteful number, since it uses less digits than its factorization.

38157419520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 38157419520 in words is "thirty-eight billion, one hundred fifty-seven million, four hundred nineteen thousand, five hundred twenty".