34090438128600 has 384 divisors, whose sum is σ = 122003271290880. Its totient is φ = 7713403200000.

The previous prime is 34090438128541. The next prime is 34090438128611. The reversal of 34090438128600 is 682183409043.

It is a self number, because there is not a number n which added to its sum of digits gives 34090438128600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 171735405 + ... + 171933795.

It is an arithmetic number, because the mean of its divisors is an integer number (317716852320).

Almost surely, 2^{34090438128600} is an apocalyptic number.

34090438128600 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 34090438128600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61001635645440).

34090438128600 is an abundant number, since it is smaller than the sum of its proper divisors (87912833162280).

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

34090438128600 is a wasteful number, since it uses less digits than its factorization.

34090438128600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198831 (or 198822 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 34090438128600 in words is "thirty-four trillion, ninety billion, four hundred thirty-eight million, one hundred twenty-eight thousand, six hundred".