3439522611840 has 512 divisors, whose sum is σ = 13276983767040. Its totient is φ = 739359129600.

The previous prime is 3439522611821. The next prime is 3439522611841. The reversal of 3439522611840 is 481162259343.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3439522611840.

It is not an unprimeable number, because it can be changed into a prime (3439522611841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 338830765 + ... + 338840915.

It is an arithmetic number, because the mean of its divisors is an integer number (25931608920).

Almost surely, 2^{3439522611840} is an apocalyptic number.

3439522611840 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 3439522611840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6638491883520).

3439522611840 is an abundant number, since it is smaller than the sum of its proper divisors (9837461155200).

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

3439522611840 is a wasteful number, since it uses less digits than its factorization.

3439522611840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11680 (or 11668 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 3439522611840 in words is "three trillion, four hundred thirty-nine billion, five hundred twenty-two million, six hundred eleven thousand, eight hundred forty".