34257287680 has 720 divisors, whose sum is σ = 109629811368. Its totient is φ = 10218700800.

The previous prime is 34257287651. The next prime is 34257287683. The reversal of 34257287680 is 8678275243.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 25258109184 + 8999178496 = 158928^2 + 94864^2 .

It is not an unprimeable number, because it can be changed into a prime (34257287683) 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, 561594850 + ... + 561594910.

Almost surely, 2^34257287680 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 34257287680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54814905684).

34257287680 is an abundant number, since it is smaller than the sum of its proper divisors (75372523688).

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

34257287680 is a wasteful number, since it uses less digits than its factorization.

34257287680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 52.

The spelling of 34257287680 in words is "thirty-four billion, two hundred fifty-seven million, two hundred eighty-seven thousand, six hundred eighty".