3442800291840 has 2496 divisors, whose sum is σ = 16001623065600. Its totient is φ = 685677477888.

The previous prime is 3442800291839. The next prime is 3442800291841. The reversal of 3442800291840 is 481920082443.

3442800291840 is a `hidden beast` number, since 3 + 4 + 4 + 280 + 0 + 291 + 84 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3442800291839) and next prime (3442800291841).

It is a tau number, because it is divible by the number of its divisors (2496).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3442800291841) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12428881782 + ... + 12428882058.

Almost surely, 2^{3442800291840} is an apocalyptic number.

3442800291840 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 3442800291840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8000811532800).

3442800291840 is an abundant number, since it is smaller than the sum of its proper divisors (12558822773760).

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

3442800291840 is a wasteful number, since it uses less digits than its factorization.

3442800291840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 3442800291840 in words is "three trillion, four hundred forty-two billion, eight hundred million, two hundred ninety-one thousand, eight hundred forty".