3240834240 has 448 divisors, whose sum is σ = 12434669568. Its totient is φ = 699494400.

The previous prime is 3240834221. The next prime is 3240834241. The reversal of 3240834240 is 424380423.

It is a tau number, because it is divible by the number of its divisors (448).

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 = 3240834198 and 3240834207.

It is not an unprimeable number, because it can be changed into a prime (3240834241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9790875 + ... + 9791205.

Almost surely, 2^3240834240 is an apocalyptic number.

3240834240 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 3240834240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6217334784).

3240834240 is an abundant number, since it is smaller than the sum of its proper divisors (9193835328).

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

3240834240 is a wasteful number, since it uses less digits than its factorization.

3240834240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 3240834240 is about 56928.3254628133. The cubic root of 3240834240 is about 1479.8542344874.

The spelling of 3240834240 in words is "three billion, two hundred forty million, eight hundred thirty-four thousand, two hundred forty".