3012272640 has 480 divisors, whose sum is σ = 11461610160. Its totient is φ = 726663168.

The previous prime is 3012272639. The next prime is 3012272677. The reversal of 3012272640 is 462722103.

3012272640 is a `hidden beast` number, since 3 + 0 + 12 + 2 + 7 + 2 + 640 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2214144 + 3010058496 = 1488^2 + 54864^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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, 26657224 + ... + 26657336.

Almost surely, 2^3012272640 is an apocalyptic number.

3012272640 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 3012272640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5730805080).

3012272640 is an abundant number, since it is smaller than the sum of its proper divisors (8449337520).

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

3012272640 is a wasteful number, since it uses less digits than its factorization.

3012272640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 3012272640 is about 54884.1747683246. The cubic root of 3012272640 is about 1444.2135845290.

Adding to 3012272640 its reverse (462722103), we get a palindrome (3474994743).

The spelling of 3012272640 in words is "three billion, twelve million, two hundred seventy-two thousand, six hundred forty".