38678417280 has 384 divisors, whose sum is σ = 138579517440. Its totient is φ = 9930240000.

The previous prime is 38678417237. The next prime is 38678417293. The reversal of 38678417280 is 8271487683.

It is a happy number.

38678417280 is a `hidden beast` number, since 3 + 86 + 78 + 417 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44818129 + ... + 44818991.

It is an arithmetic number, because the mean of its divisors is an integer number (360884160).

Almost surely, 2^38678417280 is an apocalyptic number.

38678417280 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 38678417280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69289758720).

38678417280 is an abundant number, since it is smaller than the sum of its proper divisors (99901100160).

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

38678417280 is a wasteful number, since it uses less digits than its factorization.

38678417280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 38678417280 in words is "thirty-eight billion, six hundred seventy-eight million, four hundred seventeen thousand, two hundred eighty".