3449147886240 has 768 divisors, whose sum is σ = 12968163016704. Its totient is φ = 754035609600.

The previous prime is 3449147886211. The next prime is 3449147886253. The reversal of 3449147886240 is 426887419443.

It is a super-2 number, since 2×3449147886240² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 3786111385 + ... + 3786112295.

It is an arithmetic number, because the mean of its divisors is an integer number (16885628928).

Almost surely, 2^{3449147886240} is an apocalyptic number.

3449147886240 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 3449147886240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6484081508352).

3449147886240 is an abundant number, since it is smaller than the sum of its proper divisors (9519015130464).

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

3449147886240 is a wasteful number, since it uses less digits than its factorization.

3449147886240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 60.

The spelling of 3449147886240 in words is "three trillion, four hundred forty-nine billion, one hundred forty-seven million, eight hundred eighty-six thousand, two hundred forty".