3439444861440 has 2560 divisors, whose sum is σ = 15461867520000. Its totient is φ = 715919523840.

The previous prime is 3439444861429. The next prime is 3439444861499. The reversal of 3439444861440 is 441684449343.

3439444861440 is a `hidden beast` number, since 34 + 3 + 94 + 4 + 4 + 86 + 1 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 23083522486 + ... + 23083522634.

It is an arithmetic number, because the mean of its divisors is an integer number (6039792000).

Almost surely, 2^{3439444861440} is an apocalyptic number.

3439444861440 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 3439444861440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7730933760000).

3439444861440 is an abundant number, since it is smaller than the sum of its proper divisors (12022422658560).

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

3439444861440 is an equidigital number, since it uses as much as digits as its factorization.

3439444861440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 54.

The spelling of 3439444861440 in words is "three trillion, four hundred thirty-nine billion, four hundred forty-four million, eight hundred sixty-one thousand, four hundred forty".