3146648064 has 320 divisors, whose sum is σ = 10271247360. Its totient is φ = 836075520.

The previous prime is 3146648053. The next prime is 3146648093. The reversal of 3146648064 is 4608466413.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14912919 + ... + 14913129.

It is an arithmetic number, because the mean of its divisors is an integer number (32097648).

Almost surely, 2^3146648064 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 3146648064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5135623680).

3146648064 is an abundant number, since it is smaller than the sum of its proper divisors (7124599296).

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

3146648064 is a wasteful number, since it uses less digits than its factorization.

3146648064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The square root of 3146648064 is about 56094.9914341735. The cubic root of 3146648064 is about 1465.3770673417.

The spelling of 3146648064 in words is "three billion, one hundred forty-six million, six hundred forty-eight thousand, sixty-four".