34846464 has 108 divisors (see below), whose sum is σ = 99146264. Its totient is φ = 10862592.

The previous prime is 34846457. The next prime is 34846517. The reversal of 34846464 is 46464843.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 221874 + ... + 222030.

Almost surely, 2^34846464 is an apocalyptic number.

34846464 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 34846464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49573132).

34846464 is an abundant number, since it is smaller than the sum of its proper divisors (64299800).

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

34846464 is a wasteful number, since it uses less digits than its factorization.

34846464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 179 counting only the distinct ones).

The product of its digits is 221184, while the sum is 39.

The square root of 34846464 is about 5903.0893606653. The cubic root of 34846464 is about 326.6276190080.

The spelling of 34846464 in words is "thirty-four million, eight hundred forty-six thousand, four hundred sixty-four".