34295998464 has 864 divisors, whose sum is σ = 130503260160. Its totient is φ = 8583708672.

The previous prime is 34295998421. The next prime is 34295998493. The reversal of 34295998464 is 46489959243.

34295998464 is a `hidden beast` number, since 34 + 2 + 9 + 59 + 98 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 270047169 + ... + 270047295.

It is an arithmetic number, because the mean of its divisors is an integer number (151045440).

Almost surely, 2^34295998464 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 34295998464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65251630080).

34295998464 is an abundant number, since it is smaller than the sum of its proper divisors (96207261696).

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

34295998464 is a wasteful number, since it uses less digits than its factorization.

34295998464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 175 counting only the distinct ones).

The product of its digits is 67184640, while the sum is 63.

The spelling of 34295998464 in words is "thirty-four billion, two hundred ninety-five million, nine hundred ninety-eight thousand, four hundred sixty-four".