34300254400 has 168 divisors, whose sum is σ = 85338537984. Its totient is φ = 13568640000.

The previous prime is 34300254367. The next prime is 34300254403. The reversal of 34300254400 is 445200343.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (34300254403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89556609 + ... + 89556991.

It is an arithmetic number, because the mean of its divisors is an integer number (507967488).

Almost surely, 2^34300254400 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 34300254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42669268992).

34300254400 is an abundant number, since it is smaller than the sum of its proper divisors (51038283584).

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

34300254400 is a wasteful number, since it uses less digits than its factorization.

34300254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

Adding to 34300254400 its reverse (445200343), we get a palindrome (34745454743).

The spelling of 34300254400 in words is "thirty-four billion, three hundred million, two hundred fifty-four thousand, four hundred".