3243985962840 has 288 divisors, whose sum is σ = 12266215940160. Its totient is φ = 741363840000.

The previous prime is 3243985962839. The next prime is 3243985962857. The reversal of 3243985962840 is 482695893423.

It is a happy number.

3243985962840 is a `hidden beast` number, since 3 + 2 + 4 + 39 + 8 + 596 + 2 + 8 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 158767425 + ... + 158787855.

It is an arithmetic number, because the mean of its divisors is an integer number (42591027570).

Almost surely, 2^{3243985962840} is an apocalyptic number.

3243985962840 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 3243985962840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6133107970080).

3243985962840 is an abundant number, since it is smaller than the sum of its proper divisors (9022229977320).

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

3243985962840 is a wasteful number, since it uses less digits than its factorization.

3243985962840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29463 (or 29449 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 3243985962840 in words is "three trillion, two hundred forty-three billion, nine hundred eighty-five million, nine hundred sixty-two thousand, eight hundred forty".