34254880464 has 160 divisors (see below), whose sum is σ = 105065783296. Its totient is φ = 9410618880.

The previous prime is 34254880459. The next prime is 34254880477. The reversal of 34254880464 is 46408845243.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1624839 + ... + 1645785.

Almost surely, 2^34254880464 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 34254880464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52532891648).

34254880464 is an abundant number, since it is smaller than the sum of its proper divisors (70810902832).

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

34254880464 is a wasteful number, since it uses less digits than its factorization.

34254880464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21153 (or 21147 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 48.

The spelling of 34254880464 in words is "thirty-four billion, two hundred fifty-four million, eight hundred eighty thousand, four hundred sixty-four".