3349787965440 has 576 divisors, whose sum is σ = 12926502650880. Its totient is φ = 725350809600.

The previous prime is 3349787965429. The next prime is 3349787965441. The reversal of 3349787965440 is 445697879433.

It is a super-2 number, since 2×3349787965440² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3349787965441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77607865 + ... + 77651015.

It is an arithmetic number, because the mean of its divisors is an integer number (22441844880).

Almost surely, 2^{3349787965440} is an apocalyptic number.

3349787965440 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 3349787965440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6463251325440).

3349787965440 is an abundant number, since it is smaller than the sum of its proper divisors (9576714685440).

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

3349787965440 is a wasteful number, since it uses less digits than its factorization.

3349787965440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43226 (or 43187 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 69.

The spelling of 3349787965440 in words is "three trillion, three hundred forty-nine billion, seven hundred eighty-seven million, nine hundred sixty-five thousand, four hundred forty".