3401432664 has 128 divisors (see below), whose sum is σ = 9892746240. Its totient is φ = 954519552.

The previous prime is 3401432663. The next prime is 3401432669. The reversal of 3401432664 is 4662341043.

It is a super-2 number, since 2×3401432664² = 23139488335452273792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3401432663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4132557 + ... + 4133379.

It is an arithmetic number, because the mean of its divisors is an integer number (77287080).

Almost surely, 2^3401432664 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 3401432664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4946373120).

3401432664 is an abundant number, since it is smaller than the sum of its proper divisors (6491313576).

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

3401432664 is a wasteful number, since it uses less digits than its factorization.

3401432664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The square root of 3401432664 is about 58321.8026470376. The cubic root of 3401432664 is about 1503.9057713619.

The spelling of 3401432664 in words is "three billion, four hundred one million, four hundred thirty-two thousand, six hundred sixty-four".