3440801481600 has 768 divisors, whose sum is σ = 13246705728000. Its totient is φ = 784672358400.

The previous prime is 3440801481553. The next prime is 3440801481617. The reversal of 3440801481600 is 61841080443.

It is a super-2 number, since 2×3440801481600² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1899944695 + ... + 1899946505.

It is an arithmetic number, because the mean of its divisors is an integer number (17248314750).

Almost surely, 2^{3440801481600} is an apocalyptic number.

3440801481600 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 3440801481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6623352864000).

3440801481600 is an abundant number, since it is smaller than the sum of its proper divisors (9805904246400).

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

3440801481600 is a wasteful number, since it uses less digits than its factorization.

3440801481600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2436 (or 2405 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 3440801481600 in words is "three trillion, four hundred forty billion, eight hundred one million, four hundred eighty-one thousand, six hundred".