3086022240 has 1152 divisors, whose sum is σ = 14265538560. Its totient is φ = 613122048.

The previous prime is 3086022239. The next prime is 3086022283. The reversal of 3086022240 is 422206803.

3086022240 is a `hidden beast` number, since 30 + 8 + 602 + 2 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 106414546 + ... + 106414574.

It is an arithmetic number, because the mean of its divisors is an integer number (12383280).

Almost surely, 2^3086022240 is an apocalyptic number.

3086022240 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 3086022240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7132769280).

3086022240 is an abundant number, since it is smaller than the sum of its proper divisors (11179516320).

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

3086022240 is a wasteful number, since it uses less digits than its factorization.

3086022240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3086022240 is about 55551.9778225762. The cubic root of 3086022240 is about 1455.9049318035.

The spelling of 3086022240 in words is "three billion, eighty-six million, twenty-two thousand, two hundred forty".