3145798656 has 792 divisors, whose sum is σ = 12684718592. Its totient is φ = 729907200.

The previous prime is 3145798627. The next prime is 3145798657. The reversal of 3145798656 is 6568975413.

3145798656 is a `hidden beast` number, since 3 + 1 + 4 + 579 + 8 + 65 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3145798657) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 101477361 + ... + 101477391.

Almost surely, 2^3145798656 is an apocalyptic number.

3145798656 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 3145798656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6342359296).

3145798656 is an abundant number, since it is smaller than the sum of its proper divisors (9538919936).

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

3145798656 is a wasteful number, since it uses less digits than its factorization.

3145798656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 67 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The square root of 3145798656 is about 56087.4197659333. The cubic root of 3145798656 is about 1465.2452005643.

The spelling of 3145798656 in words is "three billion, one hundred forty-five million, seven hundred ninety-eight thousand, six hundred fifty-six".