34462213764 has 144 divisors (see below), whose sum is σ = 90123898368. Its totient is φ = 10238976000.

The previous prime is 34462213741. The next prime is 34462213817. The reversal of 34462213764 is 46731226443.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53762884 + ... + 53763524.

Almost surely, 2^34462213764 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 34462213764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45061949184).

34462213764 is an abundant number, since it is smaller than the sum of its proper divisors (55661684604).

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

34462213764 is a wasteful number, since it uses less digits than its factorization.

34462213764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1325 counting only the distinct ones).

The product of its digits is 580608, while the sum is 42.

The spelling of 34462213764 in words is "thirty-four billion, four hundred sixty-two million, two hundred thirteen thousand, seven hundred sixty-four".