34454651346 has 160 divisors (see below), whose sum is σ = 81268323840. Its totient is φ = 10897286400.

The previous prime is 34454651299. The next prime is 34454651359. The reversal of 34454651346 is 64315645443.

34454651346 is a `hidden beast` number, since 3 + 4 + 454 + 65 + 134 + 6 = 666.

It is a super-2 number, since 2×34454651346² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 70172161 + ... + 70172651.

It is an arithmetic number, because the mean of its divisors is an integer number (507927024).

Almost surely, 2^34454651346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34454651346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40634161920).

34454651346 is an abundant number, since it is smaller than the sum of its proper divisors (46813672494).

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

34454651346 is a wasteful number, since it uses less digits than its factorization.

34454651346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 773 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 45.

The spelling of 34454651346 in words is "thirty-four billion, four hundred fifty-four million, six hundred fifty-one thousand, three hundred forty-six".