34745560092 has 216 divisors, whose sum is σ = 98681454144. Its totient is φ = 10662202368.

The previous prime is 34745560081. The next prime is 34745560103. The reversal of 34745560092 is 29006554743.

34745560092 is a `hidden beast` number, since 3 + 4 + 7 + 4 + 556 + 0 + 0 + 92 = 666.

34745560092 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (34745560081) and next prime (34745560103).

It is a super-2 number, since 2×34745560092² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20968128 + ... + 20969784.

It is an arithmetic number, because the mean of its divisors is an integer number (456858584).

Almost surely, 2^34745560092 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34745560092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49340727072).

34745560092 is an abundant number, since it is smaller than the sum of its proper divisors (63935894052).

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

34745560092 is a wasteful number, since it uses less digits than its factorization.

34745560092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1749 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 34745560092 in words is "thirty-four billion, seven hundred forty-five million, five hundred sixty thousand, ninety-two".