3234095640 has 512 divisors, whose sum is σ = 12275712000. Its totient is φ = 752467968.

The previous prime is 3234095639. The next prime is 3234095681. The reversal of 3234095640 is 465904323.

3234095640 is a `hidden beast` number, since 3 + 2 + 3 + 4 + 0 + 9 + 5 + 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 = 3234095595 and 3234095604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25465257 + ... + 25465383.

It is an arithmetic number, because the mean of its divisors is an integer number (23976000).

Almost surely, 2^3234095640 is an apocalyptic number.

3234095640 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 3234095640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6137856000).

3234095640 is an abundant number, since it is smaller than the sum of its proper divisors (9041616360).

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

3234095640 is a wasteful number, since it uses less digits than its factorization.

3234095640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 3234095640 is about 56869.1097169632. The cubic root of 3234095640 is about 1478.8278459481.

Adding to 3234095640 its reverse (465904323), we get a palindrome (3699999963).

The spelling of 3234095640 in words is "three billion, two hundred thirty-four million, ninety-five thousand, six hundred forty".