3401664 has 56 divisors (see below), whose sum is σ = 10290048. Its totient is φ = 971520.

The previous prime is 3401663. The next prime is 3401689. The reversal of 3401664 is 4661043.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3401663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79 + ... + 2609.

Almost surely, 2^3401664 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 3401664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5145024).

3401664 is an abundant number, since it is smaller than the sum of its proper divisors (6888384).

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

3401664 is a wasteful number, since it uses less digits than its factorization.

3401664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2553 (or 2543 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 3401664 is about 1844.3600516168. The cubic root of 3401664 is about 150.3939864806.

The spelling of 3401664 in words is "three million, four hundred one thousand, six hundred sixty-four".