3145204656 has 240 divisors, whose sum is σ = 9944363520. Its totient is φ = 919764480.

The previous prime is 3145204637. The next prime is 3145204709. The reversal of 3145204656 is 6564025413.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3145204656.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6178930 + ... + 6179438.

It is an arithmetic number, because the mean of its divisors is an integer number (41434848).

Almost surely, 2^3145204656 is an apocalyptic number.

3145204656 is a gapful number since it is divisible by the number (36) 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 3145204656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4972181760).

3145204656 is an abundant number, since it is smaller than the sum of its proper divisors (6799158864).

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

3145204656 is a wasteful number, since it uses less digits than its factorization.

3145204656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 3145204656 is about 56082.1242108392. The cubic root of 3145204656 is about 1465.1529706272.

The spelling of 3145204656 in words is "three billion, one hundred forty-five million, two hundred four thousand, six hundred fifty-six".