3238025444640 has 768 divisors, whose sum is σ = 13069184163840. Its totient is φ = 733458862080.

The previous prime is 3238025444629. The next prime is 3238025444657. The reversal of 3238025444640 is 464445208323.

3238025444640 is a `hidden beast` number, since 3 + 23 + 8 + 0 + 2 + 544 + 46 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2126082919 + ... + 2126084441.

It is an arithmetic number, because the mean of its divisors is an integer number (17017166880).

Almost surely, 2^{3238025444640} is an apocalyptic number.

3238025444640 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 3238025444640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6534592081920).

3238025444640 is an abundant number, since it is smaller than the sum of its proper divisors (9831158719200).

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

3238025444640 is a wasteful number, since it uses less digits than its factorization.

3238025444640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2142 (or 2128 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 45.

The spelling of 3238025444640 in words is "three trillion, two hundred thirty-eight billion, twenty-five million, four hundred forty-four thousand, six hundred forty".