34799994432 has 1008 divisors, whose sum is σ = 132329499120. Its totient is φ = 8670412800.

The previous prime is 34799994379. The next prime is 34799994433. The reversal of 34799994432 is 23449999743.

34799994432 is a `hidden beast` number, since 3 + 479 + 9 + 99 + 44 + 32 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5894554176 + 28905440256 = 76776^2 + 170016^2 .

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×34799994432² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 34799994432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34799994433) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 570491682 + ... + 570491742.

It is an arithmetic number, because the mean of its divisors is an integer number (131279265).

Almost surely, 2^34799994432 is an apocalyptic number.

34799994432 is a gapful number since it is divisible by the number (32) 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 34799994432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66164749560).

34799994432 is an abundant number, since it is smaller than the sum of its proper divisors (97529504688).

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

34799994432 is a wasteful number, since it uses less digits than its factorization.

34799994432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 160 counting only the distinct ones).

The product of its digits is 52907904, while the sum is 63.

The spelling of 34799994432 in words is "thirty-four billion, seven hundred ninety-nine million, nine hundred ninety-four thousand, four hundred thirty-two".