34285797504 has 512 divisors, whose sum is σ = 123567206400. Its totient is φ = 9145737216.

The previous prime is 34285797499. The next prime is 34285797517. The reversal of 34285797504 is 40579758243.

It is a happy number.

34285797504 is a `hidden beast` number, since 3 + 42 + 8 + 5 + 7 + 97 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23925172 + ... + 23926604.

It is an arithmetic number, because the mean of its divisors is an integer number (241342200).

Almost surely, 2^34285797504 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 34285797504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61783603200).

34285797504 is an abundant number, since it is smaller than the sum of its proper divisors (89281408896).

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

34285797504 is a wasteful number, since it uses less digits than its factorization.

34285797504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1529 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 34285797504 in words is "thirty-four billion, two hundred eighty-five million, seven hundred ninety-seven thousand, five hundred four".