3027248640 has 400 divisors, whose sum is σ = 11687095728. Its totient is φ = 744505344.

The previous prime is 3027248629. The next prime is 3027248657. The reversal of 3027248640 is 468427203.

3027248640 is a `hidden beast` number, since 3 + 0 + 2 + 7 + 2 + 4 + 8 + 640 = 666.

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 = 3027248595 and 3027248604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2695119 + ... + 2696241.

Almost surely, 2^3027248640 is an apocalyptic number.

3027248640 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 3027248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5843547864).

3027248640 is an abundant number, since it is smaller than the sum of its proper divisors (8659847088).

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

3027248640 is a wasteful number, since it uses less digits than its factorization.

3027248640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 3027248640 is about 55020.4383842950. The cubic root of 3027248640 is about 1446.6030094618.

It can be divided in two parts, 302724 and 8640, that added together give a square (311364 = 558²).

The spelling of 3027248640 in words is "three billion, twenty-seven million, two hundred forty-eight thousand, six hundred forty".