3293938704440 has 128 divisors (see below), whose sum is σ = 7984635678720. Its totient is φ = 1219395302400.

The previous prime is 3293938704401. The next prime is 3293938704451. The reversal of 3293938704440 is 444078393923.

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 31 ways as a sum of consecutive naturals, for example, 219339812 + ... + 219354828.

It is an arithmetic number, because the mean of its divisors is an integer number (62379966240).

Almost surely, 2^{3293938704440} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3293938704440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3992317839360).

3293938704440 is an abundant number, since it is smaller than the sum of its proper divisors (4690696974280).

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

3293938704440 is a wasteful number, since it uses less digits than its factorization.

3293938704440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22773 (or 22769 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 56.

The spelling of 3293938704440 in words is "three trillion, two hundred ninety-three billion, nine hundred thirty-eight million, seven hundred four thousand, four hundred forty".