34138713889800 has 432 divisors, whose sum is σ = 125040043018800. Its totient is φ = 8342909452800.

The previous prime is 34138713889699. The next prime is 34138713889801. The reversal of 34138713889800 is 898831783143.

34138713889800 is a `hidden beast` number, since 3 + 41 + 387 + 138 + 8 + 9 + 80 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (34138713889801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 41880115 + ... + 42687485.

It is an arithmetic number, because the mean of its divisors is an integer number (289444544025).

Almost surely, 2^{34138713889800} is an apocalyptic number.

34138713889800 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 34138713889800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62520021509400).

34138713889800 is an abundant number, since it is smaller than the sum of its proper divisors (90901329129000).

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

34138713889800 is a wasteful number, since it uses less digits than its factorization.

34138713889800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807558 (or 807533 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 34138713889800 in words is "thirty-four trillion, one hundred thirty-eight billion, seven hundred thirteen million, eight hundred eighty-nine thousand, eight hundred".