3145420800 has 234 divisors, whose sum is σ = 11269521822. Its totient is φ = 838533120.

The previous prime is 3145420799. The next prime is 3145420813. The reversal of 3145420800 is 80245413.

3145420800 is a `hidden beast` number, since 3 + 1 + 454 + 208 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 785793024 + 2359627776 = 28032^2 + 48576^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 919894 + ... + 923306.

Almost surely, 2^3145420800 is an apocalyptic number.

3145420800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3145420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5634760911).

3145420800 is an abundant number, since it is smaller than the sum of its proper divisors (8124101022).

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

3145420800 is a wasteful number, since it uses less digits than its factorization.

3145420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3453 (or 3423 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 3145420800 is about 56084.0512088776. The cubic root of 3145420800 is about 1465.1865324888.

The spelling of 3145420800 in words is "three billion, one hundred forty-five million, four hundred twenty thousand, eight hundred".