38096472960 has 768 divisors, whose sum is σ = 169075771200. Its totient is φ = 8035614720.

The previous prime is 38096472943. The next prime is 38096472971. The reversal of 38096472960 is 6927469083.

It is a happy number.

38096472960 is a `hidden beast` number, since 3 + 80 + 9 + 6 + 472 + 96 + 0 = 666.

It is a super-2 number, since 2×38096472960² (a number of 22 digits) contains 22 as substring.

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 = 38096472897 and 38096472906.

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, 11005630 + ... + 11009090.

Almost surely, 2^38096472960 is an apocalyptic number.

38096472960 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 38096472960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84537885600).

38096472960 is an abundant number, since it is smaller than the sum of its proper divisors (130979298240).

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

38096472960 is a wasteful number, since it uses less digits than its factorization.

38096472960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3516 (or 3491 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 38096472960 in words is "thirty-eight billion, ninety-six million, four hundred seventy-two thousand, nine hundred sixty".