34221808936350 has 576 divisors, whose sum is σ = 110302685176320. Its totient is φ = 7726569523200.

The previous prime is 34221808936297. The next prime is 34221808936363. The reversal of 34221808936350 is 5363980812243.

34221808936350 is a `hidden beast` number, since 3 + 4 + 2 + 2 + 180 + 89 + 36 + 350 = 666.

It is a super-2 number, since 2×34221808936350² (a number of 28 digits) contains 22 as substring.

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 polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11588826474 + ... + 11588829426.

It is an arithmetic number, because the mean of its divisors is an integer number (191497717320).

Almost surely, 2^{34221808936350} is an apocalyptic number.

34221808936350 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34221808936350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55151342588160).

34221808936350 is an abundant number, since it is smaller than the sum of its proper divisors (76080876239970).

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

34221808936350 is a wasteful number, since it uses less digits than its factorization.

34221808936350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4607 (or 4590 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 34221808936350 in words is "thirty-four trillion, two hundred twenty-one billion, eight hundred eight million, nine hundred thirty-six thousand, three hundred fifty".