38826606234240 has 1024 divisors, whose sum is σ = 152091020390400. Its totient is φ = 9282816000000.

The previous prime is 38826606234233. The next prime is 38826606234287. The reversal of 38826606234240 is 4243260662883.

38826606234240 is a `hidden beast` number, since 3 + 8 + 8 + 2 + 6 + 6 + 0 + 623 + 4 + 2 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4914134290 + ... + 4914142190.

It is an arithmetic number, because the mean of its divisors is an integer number (148526387100).

Almost surely, 2^{38826606234240} is an apocalyptic number.

38826606234240 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 38826606234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76045510195200).

38826606234240 is an abundant number, since it is smaller than the sum of its proper divisors (113264414156160).

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

38826606234240 is a wasteful number, since it uses less digits than its factorization.

38826606234240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8294 (or 8276 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 54.

The spelling of 38826606234240 in words is "thirty-eight trillion, eight hundred twenty-six billion, six hundred six million, two hundred thirty-four thousand, two hundred forty".