38278168790400 has 4608 divisors, whose sum is σ = 186036092928000. Its totient is φ = 7512569856000.

The previous prime is 38278168790383. The next prime is 38278168790419. The reversal of 38278168790400 is 409786187283.

38278168790400 is a `hidden beast` number, since 3 + 8 + 2 + 7 + 81 + 68 + 7 + 90 + 400 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 106624425421 + ... + 106624425779.

It is an arithmetic number, because the mean of its divisors is an integer number (40372416000).

Almost surely, 2^{38278168790400} is an apocalyptic number.

38278168790400 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 38278168790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93018046464000).

38278168790400 is an abundant number, since it is smaller than the sum of its proper divisors (147757924137600).

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

38278168790400 is a wasteful number, since it uses less digits than its factorization.

38278168790400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 38278168790400 in words is "thirty-eight trillion, two hundred seventy-eight billion, one hundred sixty-eight million, seven hundred ninety thousand, four hundred".