38968266960 has 480 divisors, whose sum is σ = 153853509888. Its totient is φ = 8654929920.

The previous prime is 38968266941. The next prime is 38968266991. The reversal of 38968266960 is 6966286983.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 30183915 + ... + 30185205.

Almost surely, 2^38968266960 is an apocalyptic number.

38968266960 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 38968266960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76926754944).

38968266960 is an abundant number, since it is smaller than the sum of its proper divisors (114885242928).

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

38968266960 is a wasteful number, since it uses less digits than its factorization.

38968266960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1483 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 38968266960 in words is "thirty-eight billion, nine hundred sixty-eight million, two hundred sixty-six thousand, nine hundred sixty".