3012992640 has 960 divisors, whose sum is σ = 13542629760. Its totient is φ = 624070656.

The previous prime is 3012992597. The next prime is 3012992657. The reversal of 3012992640 is 462992103.

3012992640 is a `hidden beast` number, since 3 + 0 + 1 + 2 + 9 + 9 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a junction number, because it is equal to n+sod(n) for n = 3012992595 and 3012992604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 130999669 + ... + 130999691.

It is an arithmetic number, because the mean of its divisors is an integer number (14106906).

Almost surely, 2^3012992640 is an apocalyptic number.

3012992640 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 3012992640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6771314880).

3012992640 is an abundant number, since it is smaller than the sum of its proper divisors (10529637120).

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

3012992640 is a wasteful number, since it uses less digits than its factorization.

3012992640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 3012992640 is about 54890.7336442136. The cubic root of 3012992640 is about 1444.3286417265.

The spelling of 3012992640 in words is "three billion, twelve million, nine hundred ninety-two thousand, six hundred forty".