38778600960 has 560 divisors, whose sum is σ = 152156355120. Its totient is φ = 9395896320.

The previous prime is 38778600953. The next prime is 38778600979. The reversal of 38778600960 is 6900687783.

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 = 38778600897 and 38778600906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 20527696 + ... + 20529584.

It is an arithmetic number, because the mean of its divisors is an integer number (271707777).

Almost surely, 2^38778600960 is an apocalyptic number.

38778600960 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 38778600960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76078177560).

38778600960 is an abundant number, since it is smaller than the sum of its proper divisors (113377754160).

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

38778600960 is an equidigital number, since it uses as much as digits as its factorization.

38778600960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1941 (or 1910 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 38778600960 in words is "thirty-eight billion, seven hundred seventy-eight million, six hundred thousand, nine hundred sixty".