34188104538432 has 504 divisors, whose sum is σ = 109969603909984. Its totient is φ = 10468685223936.

The previous prime is 34188104538421. The next prime is 34188104538481. The reversal of 34188104538432 is 23483540188143.

34188104538432 is a `hidden beast` number, since 3 + 4 + 1 + 8 + 81 + 0 + 453 + 84 + 32 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 44227819198 + ... + 44227819970.

Almost surely, 2^{34188104538432} is an apocalyptic number.

34188104538432 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 34188104538432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54984801954992).

34188104538432 is an abundant number, since it is smaller than the sum of its proper divisors (75781499371552).

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

34188104538432 is an frugal number, since it uses more digits than its factorization.

34188104538432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1869 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 34188104538432 in words is "thirty-four trillion, one hundred eighty-eight billion, one hundred four million, five hundred thirty-eight thousand, four hundred thirty-two".