3264270240 has 864 divisors, whose sum is σ = 13938365952. Its totient is φ = 638668800.

The previous prime is 3264270221. The next prime is 3264270241. The reversal of 3264270240 is 420724623.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3264270198 and 3264270207.

It is not an unprimeable number, because it can be changed into a prime (3264270241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 88223502 + ... + 88223538.

It is an arithmetic number, because the mean of its divisors is an integer number (16132368).

Almost surely, 2^3264270240 is an apocalyptic number.

3264270240 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 3264270240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6969182976).

3264270240 is an abundant number, since it is smaller than the sum of its proper divisors (10674095712).

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

3264270240 is a wasteful number, since it uses less digits than its factorization.

3264270240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 3264270240 is about 57133.7924524532. The cubic root of 3264270240 is about 1483.4128447328.

Adding to 3264270240 its reverse (420724623), we get a palindrome (3684994863).

The spelling of 3264270240 in words is "three billion, two hundred sixty-four million, two hundred seventy thousand, two hundred forty".