3145663400 has 96 divisors (see below), whose sum is σ = 8098008480. Its totient is φ = 1126752000.

The previous prime is 3145663387. The next prime is 3145663421. The reversal of 3145663400 is 43665413.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136730 + ... + 158070.

It is an arithmetic number, because the mean of its divisors is an integer number (84354255).

Almost surely, 2^3145663400 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 3145663400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4049004240).

3145663400 is an abundant number, since it is smaller than the sum of its proper divisors (4952345080).

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

3145663400 is a wasteful number, since it uses less digits than its factorization.

3145663400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21435 (or 21426 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The square root of 3145663400 is about 56086.2139923885. The cubic root of 3145663400 is about 1465.2242004869.

The spelling of 3145663400 in words is "three billion, one hundred forty-five million, six hundred sixty-three thousand, four hundred".