38278901503872 has 320 divisors, whose sum is σ = 115347186662400. Its totient is φ = 12599638926336.

The previous prime is 38278901503813. The next prime is 38278901503873. The reversal of 38278901503872 is 27830510987283.

38278901503872 is a `hidden beast` number, since 3 + 8 + 27 + 89 + 0 + 150 + 387 + 2 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38278901503873) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1926748083 + ... + 1926767949.

It is an arithmetic number, because the mean of its divisors is an integer number (360459958320).

Almost surely, 2^{38278901503872} is an apocalyptic number.

38278901503872 is a gapful number since it is divisible by the number (32) 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 38278901503872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57673593331200).

38278901503872 is an abundant number, since it is smaller than the sum of its proper divisors (77068285158528).

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

38278901503872 is a wasteful number, since it uses less digits than its factorization.

38278901503872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22215 (or 22194 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 38278901503872 in words is "thirty-eight trillion, two hundred seventy-eight billion, nine hundred one million, five hundred three thousand, eight hundred seventy-two".