3261162240 has 432 divisors, whose sum is σ = 13255814208. Its totient is φ = 724598784.

The previous prime is 3261162227. The next prime is 3261162253. The reversal of 3261162240 is 422611623.

3261162240 is a `hidden beast` number, since 3 + 2 + 611 + 6 + 2 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (3261162227) and next prime (3261162253).

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, 2983134 + ... + 2984226.

Almost surely, 2^3261162240 is an apocalyptic number.

3261162240 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 3261162240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6627907104).

3261162240 is an abundant number, since it is smaller than the sum of its proper divisors (9994651968).

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

3261162240 is a wasteful number, since it uses less digits than its factorization.

3261162240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3261162240 is about 57106.5866603845. The cubic root of 3261162240 is about 1482.9418960673.

Adding to 3261162240 its reverse (422611623), we get a palindrome (3683773863).

The spelling of 3261162240 in words is "three billion, two hundred sixty-one million, one hundred sixty-two thousand, two hundred forty".