34841664 has 280 divisors, whose sum is σ = 123919488. Its totient is φ = 9538560.

The previous prime is 34841627. The next prime is 34841669. The reversal of 34841664 is 46614843.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (34841669) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 741289 + ... + 741335.

Almost surely, 2^34841664 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 34841664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61959744).

34841664 is an abundant number, since it is smaller than the sum of its proper divisors (89077824).

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

34841664 is a wasteful number, since it uses less digits than its factorization.

34841664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 76 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 34841664 is about 5902.6827798892. The cubic root of 34841664 is about 326.6126209816.

The spelling of 34841664 in words is "thirty-four million, eight hundred forty-one thousand, six hundred sixty-four".