29345874432 has 320 divisors, whose sum is σ = 95033917440. Its totient is φ = 7865155584.

The previous prime is 29345874421. The next prime is 29345874457. The reversal of 29345874432 is 23447854392.

It is a happy number.

It is a super-2 number, since 2×29345874432² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13105569 + ... + 13107807.

It is an arithmetic number, because the mean of its divisors is an integer number (296980992).

Almost surely, 2^29345874432 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 29345874432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47516958720).

29345874432 is an abundant number, since it is smaller than the sum of its proper divisors (65688043008).

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

29345874432 is a wasteful number, since it uses less digits than its factorization.

29345874432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2343 (or 2327 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 51.

The spelling of 29345874432 in words is "twenty-nine billion, three hundred forty-five million, eight hundred seventy-four thousand, four hundred thirty-two".