34412360364 has 144 divisors (see below), whose sum is σ = 95707029600. Its totient is φ = 10377013248.

The previous prime is 34412360299. The next prime is 34412360377. The reversal of 34412360364 is 46306321443.

34412360364 is a `hidden beast` number, since 3 + 4 + 41 + 2 + 3 + 603 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4060059 + ... + 4068525.

It is an arithmetic number, because the mean of its divisors is an integer number (664632150).

Almost surely, 2^34412360364 is an apocalyptic number.

34412360364 is a gapful number since it is divisible by the number (34) 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 34412360364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47853514800).

34412360364 is an abundant number, since it is smaller than the sum of its proper divisors (61294669236).

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

34412360364 is a wasteful number, since it uses less digits than its factorization.

34412360364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8752 (or 8747 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 34412360364 in words is "thirty-four billion, four hundred twelve million, three hundred sixty thousand, three hundred sixty-four".