34220613546 has 96 divisors (see below), whose sum is σ = 86786219520. Its totient is φ = 9541258272.

The previous prime is 34220613523. The next prime is 34220613563. The reversal of 34220613546 is 64531602243.

34220613546 is a `hidden beast` number, since 34 + 2 + 2 + 0 + 613 + 5 + 4 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 34220613546.

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, 8032765 + ... + 8037023.

It is an arithmetic number, because the mean of its divisors is an integer number (904023120).

Almost surely, 2^34220613546 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34220613546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43393109760).

34220613546 is an abundant number, since it is smaller than the sum of its proper divisors (52565605974).

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

34220613546 is a wasteful number, since it uses less digits than its factorization.

34220613546 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5800 (or 5797 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 34220613546 in words is "thirty-four billion, two hundred twenty million, six hundred thirteen thousand, five hundred forty-six".