3400041664 has 56 divisors (see below), whose sum is σ = 7128296640. Its totient is φ = 1606434816.

The previous prime is 3400041647. The next prime is 3400041709. The reversal of 3400041664 is 4661400043.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67744 + ... + 106720.

Almost surely, 2^3400041664 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 3400041664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3564148320).

3400041664 is an abundant number, since it is smaller than the sum of its proper divisors (3728254976).

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

3400041664 is a wasteful number, since it uses less digits than its factorization.

3400041664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39065 (or 39055 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 3400041664 is about 58309.8762132111. The cubic root of 3400041664 is about 1503.7007383300.

The spelling of 3400041664 in words is "three billion, four hundred million, forty-one thousand, six hundred sixty-four".