38073630898560 has 256 divisors, whose sum is σ = 123526409011200. Its totient is φ = 9973284249600.

The previous prime is 38073630898553. The next prime is 38073630898651. The reversal of 38073630898560 is 6589803637083.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 38073630898491 and 38073630898500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23854861 + ... + 25400819.

It is an arithmetic number, because the mean of its divisors is an integer number (482525035200).

Almost surely, 2^{38073630898560} is an apocalyptic number.

38073630898560 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 38073630898560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61763204505600).

38073630898560 is an abundant number, since it is smaller than the sum of its proper divisors (85452778112640).

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

38073630898560 is a wasteful number, since it uses less digits than its factorization.

38073630898560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1546209 (or 1546197 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 66.

The spelling of 38073630898560 in words is "thirty-eight trillion, seventy-three billion, six hundred thirty million, eight hundred ninety-eight thousand, five hundred sixty".