34293901824 has 720 divisors, whose sum is σ = 127565710272. Its totient is φ = 9005727744.

The previous prime is 34293901823. The next prime is 34293901847. The reversal of 34293901824 is 42810939243.

It is a self number, because there is not a number n which added to its sum of digits gives 34293901824.

It is not an unprimeable number, because it can be changed into a prime (34293901823) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 147184012 + ... + 147184244.

Almost surely, 2^34293901824 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 34293901824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63782855136).

34293901824 is an abundant number, since it is smaller than the sum of its proper divisors (93271808448).

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

34293901824 is an equidigital number, since it uses as much as digits as its factorization.

34293901824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 34293901824 in words is "thirty-four billion, two hundred ninety-three million, nine hundred one thousand, eight hundred twenty-four".