3243256381440 has 476 divisors, whose sum is σ = 11671154805204. Its totient is φ = 864804667392.

The previous prime is 3243256381433. The next prime is 3243256381441. The reversal of 3243256381440 is 441836523423.

3243256381440 is a `hidden beast` number, since 3 + 2 + 4 + 3 + 2 + 5 + 638 + 1 + 4 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2333415112704 + 909841268736 = 1527552^2 + 953856^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3243256381441) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 238871932 + ... + 238885508.

Almost surely, 2^{3243256381440} is an apocalyptic number.

3243256381440 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 3243256381440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5835577402602).

3243256381440 is an abundant number, since it is smaller than the sum of its proper divisors (8427898423764).

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

3243256381440 is an frugal number, since it uses more digits than its factorization.

3243256381440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13632 (or 13587 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 3243256381440 in words is "three trillion, two hundred forty-three billion, two hundred fifty-six million, three hundred eighty-one thousand, four hundred forty".