3122310240 has 480 divisors, whose sum is σ = 12739313664. Its totient is φ = 705438720.

The previous prime is 3122310239. The next prime is 3122310277. The reversal of 3122310240 is 420132213.

3122310240 is a `hidden beast` number, since 312 + 2 + 310 + 2 + 40 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11521305 + ... + 11521575.

Almost surely, 2^3122310240 is an apocalyptic number.

3122310240 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 3122310240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6369656832).

3122310240 is an abundant number, since it is smaller than the sum of its proper divisors (9617003424).

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

3122310240 is a wasteful number, since it uses less digits than its factorization.

3122310240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3122310240 is about 55877.6363136452. The cubic root of 3122310240 is about 1461.5892870513.

Adding to 3122310240 its reverse (420132213), we get a palindrome (3542442453).

The spelling of 3122310240 in words is "three billion, one hundred twenty-two million, three hundred ten thousand, two hundred forty".