3442681440000 has 3600 divisors, whose sum is σ = 15576425948160. Its totient is φ = 746496000000.

The previous prime is 3442681439983. The next prime is 3442681440047. The reversal of 3442681440000 is 441862443.

3442681440000 is a `hidden beast` number, since 344 + 268 + 14 + 40 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3600).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 83967839980 + ... + 83967840020.

Almost surely, 2^{3442681440000} is an apocalyptic number.

3442681440000 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 3442681440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7788212974080).

3442681440000 is an abundant number, since it is smaller than the sum of its proper divisors (12133744508160).

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

3442681440000 is a wasteful number, since it uses less digits than its factorization.

3442681440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 3442681440000 in words is "three trillion, four hundred forty-two billion, six hundred eighty-one million, four hundred forty thousand".