34290106922016 has 288 divisors, whose sum is σ = 109501798468608. Its totient is φ = 10089779281920.

The previous prime is 34290106921957. The next prime is 34290106922041. The reversal of 34290106922016 is 61022960109243.

34290106922016 is a `hidden beast` number, since 3 + 429 + 0 + 10 + 6 + 9 + 2 + 201 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×34290106922016² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15233985 + ... + 17339391.

It is an arithmetic number, because the mean of its divisors is an integer number (380214578016).

Almost surely, 2^{34290106922016} is an apocalyptic number.

34290106922016 is a gapful number since it is divisible by the number (36) 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 34290106922016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54750899234304).

34290106922016 is an abundant number, since it is smaller than the sum of its proper divisors (75211691546592).

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

34290106922016 is a wasteful number, since it uses less digits than its factorization.

34290106922016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2105584 (or 2105573 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 34290106922016 in words is "thirty-four trillion, two hundred ninety billion, one hundred six million, nine hundred twenty-two thousand, sixteen".