3012655680 has 672 divisors, whose sum is σ = 11862474624. Its totient is φ = 724598784.

The previous prime is 3012655669. The next prime is 3012655693. The reversal of 3012655680 is 865562103.

3012655680 is a `hidden beast` number, since 3 + 0 + 1 + 26 + 556 + 80 = 666.

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

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, 56842534 + ... + 56842586.

It is an arithmetic number, because the mean of its divisors is an integer number (17652492).

Almost surely, 2^3012655680 is an apocalyptic number.

3012655680 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 3012655680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5931237312).

3012655680 is an abundant number, since it is smaller than the sum of its proper divisors (8849818944).

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

3012655680 is a wasteful number, since it uses less digits than its factorization.

3012655680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 3012655680 is about 54887.6641878665. The cubic root of 3012655680 is about 1444.2747972402.

The spelling of 3012655680 in words is "three billion, twelve million, six hundred fifty-five thousand, six hundred eighty".