34254502304 has 96 divisors (see below), whose sum is σ = 74180800512. Its totient is φ = 15441376000.

The previous prime is 34254502297. The next prime is 34254502307. The reversal of 34254502304 is 40320545243.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (34254502307) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31396799 + ... + 31397889.

It is an arithmetic number, because the mean of its divisors is an integer number (772716672).

Almost surely, 2^34254502304 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 34254502304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37090400256).

34254502304 is an abundant number, since it is smaller than the sum of its proper divisors (39926298208).

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

34254502304 is a wasteful number, since it uses less digits than its factorization.

34254502304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1770 (or 1762 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 32.

The spelling of 34254502304 in words is "thirty-four billion, two hundred fifty-four million, five hundred two thousand, three hundred four".