34562212945920 has 1344 divisors, whose sum is σ = 143021372397120. Its totient is φ = 7885333463040.

The previous prime is 34562212945891. The next prime is 34562212945933. The reversal of 34562212945920 is 2954921226543.

34562212945920 is a `hidden beast` number, since 3 + 4 + 5 + 6 + 2 + 21 + 29 + 4 + 592 + 0 = 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2274869844 + ... + 2274885036.

It is an arithmetic number, because the mean of its divisors is an integer number (106414711605).

Almost surely, 2^{34562212945920} is an apocalyptic number.

34562212945920 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 34562212945920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71510686198560).

34562212945920 is an abundant number, since it is smaller than the sum of its proper divisors (108459159451200).

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

34562212945920 is a wasteful number, since it uses less digits than its factorization.

34562212945920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15272 (or 15231 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 34562212945920 in words is "thirty-four trillion, five hundred sixty-two billion, two hundred twelve million, nine hundred forty-five thousand, nine hundred twenty".