3401201664 has 480 divisors, whose sum is σ = 12129717600. Its totient is φ = 928972800.

The previous prime is 3401201663. The next prime is 3401201677. The reversal of 3401201664 is 4661021043.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3401201663) 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, 33675214 + ... + 33675314.

It is an arithmetic number, because the mean of its divisors is an integer number (25270245).

Almost surely, 2^3401201664 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 3401201664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6064858800).

3401201664 is an abundant number, since it is smaller than the sum of its proper divisors (8728515936).

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

3401201664 is a wasteful number, since it uses less digits than its factorization.

3401201664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3401201664 is about 58319.8222219513. The cubic root of 3401201664 is about 1503.8717258942.

The spelling of 3401201664 in words is "three billion, four hundred one million, two hundred one thousand, six hundred sixty-four".