3145673664 has 224 divisors, whose sum is σ = 10911027200. Its totient is φ = 869667840.

The previous prime is 3145673647. The next prime is 3145673701. The reversal of 3145673664 is 4663765413.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

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, 370782 + ... + 379170.

Almost surely, 2^3145673664 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 3145673664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5455513600).

3145673664 is an abundant number, since it is smaller than the sum of its proper divisors (7765353536).

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

3145673664 is a wasteful number, since it uses less digits than its factorization.

3145673664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8448 (or 8432 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 45.

The square root of 3145673664 is about 56086.3054943005. The cubic root of 3145673664 is about 1465.2257941142.

The spelling of 3145673664 in words is "three billion, one hundred forty-five million, six hundred seventy-three thousand, six hundred sixty-four".