3145809920 has 120 divisors (see below), whose sum is σ = 8238410208. Its totient is φ = 1143603200.

The previous prime is 3145809883. The next prime is 3145809923. The reversal of 3145809920 is 299085413.

It is a super-2 number, since 2×3145809920² = 19792240105540812800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3145809923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 899375 + ... + 902865.

Almost surely, 2^3145809920 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 3145809920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4119205104).

3145809920 is an abundant number, since it is smaller than the sum of its proper divisors (5092600288).

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

3145809920 is an equidigital number, since it uses as much as digits as its factorization.

3145809920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3535 (or 3509 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 41.

The square root of 3145809920 is about 56087.5201805179. The cubic root of 3145809920 is about 1465.2469494050.

The spelling of 3145809920 in words is "three billion, one hundred forty-five million, eight hundred nine thousand, nine hundred twenty".