38249059326840 has 256 divisors, whose sum is σ = 128642237337600. Its totient is φ = 10108143360000.

The previous prime is 38249059326833. The next prime is 38249059326869. The reversal of 38249059326840 is 4862395094283.

It is a happy number.

38249059326840 is a `hidden beast` number, since 3 + 8 + 2 + 490 + 59 + 32 + 68 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1204640965 + ... + 1204672715.

It is an arithmetic number, because the mean of its divisors is an integer number (502508739600).

Almost surely, 2^{38249059326840} is an apocalyptic number.

38249059326840 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 38249059326840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64321118668800).

38249059326840 is an abundant number, since it is smaller than the sum of its proper divisors (90393178010760).

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

38249059326840 is a wasteful number, since it uses less digits than its factorization.

38249059326840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41755 (or 41745 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 38249059326840 in words is "thirty-eight trillion, two hundred forty-nine billion, fifty-nine million, three hundred twenty-six thousand, eight hundred forty".