3145456020 has 288 divisors, whose sum is σ = 10617868800. Its totient is φ = 693294336.

The previous prime is 3145456019. The next prime is 3145456037. The reversal of 3145456020 is 206545413.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17572291 + ... + 17572469.

It is an arithmetic number, because the mean of its divisors is an integer number (36867600).

Almost surely, 2^3145456020 is an apocalyptic number.

3145456020 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 3145456020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5308934400).

3145456020 is an abundant number, since it is smaller than the sum of its proper divisors (7472412780).

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

3145456020 is a wasteful number, since it uses less digits than its factorization.

3145456020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 3145456020 is about 56084.3652010077. The cubic root of 3145456020 is about 1465.1920011452.

The spelling of 3145456020 in words is "three billion, one hundred forty-five million, four hundred fifty-six thousand, twenty".