3234009606240 has 384 divisors, whose sum is σ = 11735627258880. Its totient is φ = 733293969408.

The previous prime is 3234009606229. The next prime is 3234009606259. The reversal of 3234009606240 is 426069004323.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 874764072 + ... + 874767768.

It is an arithmetic number, because the mean of its divisors is an integer number (30561529320).

Almost surely, 2^{3234009606240} is an apocalyptic number.

3234009606240 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 3234009606240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5867813629440).

3234009606240 is an abundant number, since it is smaller than the sum of its proper divisors (8501617652640).

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

3234009606240 is a wasteful number, since it uses less digits than its factorization.

3234009606240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5734 (or 5726 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 39.

The spelling of 3234009606240 in words is "three trillion, two hundred thirty-four billion, nine million, six hundred six thousand, two hundred forty".