34286874600 has 288 divisors, whose sum is σ = 117483730560. Its totient is φ = 8265523200.

The previous prime is 34286874581. The next prime is 34286874613. The reversal of 34286874600 is 647868243.

It is a super-2 number, since 2×34286874600² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34286874600.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14010577 + ... + 14013023.

It is an arithmetic number, because the mean of its divisors is an integer number (407929620).

Almost surely, 2^34286874600 is an apocalyptic number.

34286874600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34286874600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58741865280).

34286874600 is an abundant number, since it is smaller than the sum of its proper divisors (83196855960).

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

34286874600 is a wasteful number, since it uses less digits than its factorization.

34286874600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2681 (or 2661 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The spelling of 34286874600 in words is "thirty-four billion, two hundred eighty-six million, eight hundred seventy-four thousand, six hundred".