3414173664 has 48 divisors (see below), whose sum is σ = 9776954880. Its totient is φ = 1034597760.

The previous prime is 3414173629. The next prime is 3414173677. The reversal of 3414173664 is 4663714143.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×3414173664³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1615504 + ... + 1617615.

It is an arithmetic number, because the mean of its divisors is an integer number (203686560).

Almost surely, 2^3414173664 is an apocalyptic number.

It is an amenable number.

3414173664 is an abundant number, since it is smaller than the sum of its proper divisors (6362781216).

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

3414173664 is a wasteful number, since it uses less digits than its factorization.

3414173664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3233143 (or 3233135 counting only the distinct ones).

The product of its digits is 145152, while the sum is 39.

The square root of 3414173664 is about 58430.9307131078. The cubic root of 3414173664 is about 1505.7811956703.

The spelling of 3414173664 in words is "three billion, four hundred fourteen million, one hundred seventy-three thousand, six hundred sixty-four".