3145500864 has 280 divisors, whose sum is σ = 10258763328. Its totient is φ = 948983040.

The previous prime is 3145500851. The next prime is 3145500887. The reversal of 3145500864 is 4680055413.

It is a happy number.

3145500864 is a `hidden beast` number, since 3 + 145 + 500 + 8 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13856719 + ... + 13856945.

Almost surely, 2^3145500864 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 3145500864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5129381664).

3145500864 is an abundant number, since it is smaller than the sum of its proper divisors (7113262464).

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

3145500864 is an frugal number, since it uses more digits than its factorization.

3145500864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 3145500864 is about 56084.7649901468. The cubic root of 3145500864 is about 1465.1989640739.

The spelling of 3145500864 in words is "three billion, one hundred forty-five million, five hundred thousand, eight hundred sixty-four".