38293378560 has 840 divisors, whose sum is σ = 148292066736. Its totient is φ = 9475522560.

The previous prime is 38293378553. The next prime is 38293378579. The reversal of 38293378560 is 6587339283.

38293378560 is a `hidden beast` number, since 3 + 8 + 2 + 9 + 3 + 3 + 78 + 560 = 666.

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 = 38293378497 and 38293378506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 539343325 + ... + 539343395.

Almost surely, 2^38293378560 is an apocalyptic number.

38293378560 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 38293378560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74146033368).

38293378560 is an abundant number, since it is smaller than the sum of its proper divisors (109998688176).

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

38293378560 is an frugal number, since it uses more digits than its factorization.

38293378560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 38293378560 in words is "thirty-eight billion, two hundred ninety-three million, three hundred seventy-eight thousand, five hundred sixty".