34894292472 has 96 divisors (see below), whose sum is σ = 102053340480. Its totient is φ = 10707344640.

The previous prime is 34894292431. The next prime is 34894292483. The reversal of 34894292472 is 27429249843.

34894292472 is a `hidden beast` number, since 3 + 4 + 89 + 4 + 2 + 92 + 472 = 666.

It is a super-2 number, since 2×34894292472² (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 23 ways as a sum of consecutive naturals, for example, 292722 + ... + 394302.

It is an arithmetic number, because the mean of its divisors is an integer number (1063055630).

Almost surely, 2^34894292472 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 34894292472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51026670240).

34894292472 is an abundant number, since it is smaller than the sum of its proper divisors (67159048008).

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

34894292472 is a wasteful number, since it uses less digits than its factorization.

34894292472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101973 (or 101966 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 34894292472 in words is "thirty-four billion, eight hundred ninety-four million, two hundred ninety-two thousand, four hundred seventy-two".