3145935200 has 72 divisors (see below), whose sum is σ = 7696616760. Its totient is φ = 1255654400.

The previous prime is 3145935197. The next prime is 3145935217. The reversal of 3145935200 is 25395413.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 388796 + ... + 396804.

It is an arithmetic number, because the mean of its divisors is an integer number (106897455).

Almost surely, 2^3145935200 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 3145935200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3848308380).

3145935200 is an abundant number, since it is smaller than the sum of its proper divisors (4550681560).

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

3145935200 is a wasteful number, since it uses less digits than its factorization.

3145935200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8520 (or 8507 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 32.

The square root of 3145935200 is about 56088.6369953844. The cubic root of 3145935200 is about 1465.2664000082.

The spelling of 3145935200 in words is "three billion, one hundred forty-five million, nine hundred thirty-five thousand, two hundred".