3442201340400 has 360 divisors, whose sum is σ = 12787235136000. Its totient is φ = 854868625920.

The previous prime is 3442201340371. The next prime is 3442201340411. The reversal of 3442201340400 is 40431022443.

It is a happy number.

3442201340400 is a `hidden beast` number, since 3 + 4 + 4 + 220 + 1 + 34 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3609121 + ... + 4462079.

It is an arithmetic number, because the mean of its divisors is an integer number (35520097600).

Almost surely, 2^{3442201340400} is an apocalyptic number.

3442201340400 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 3442201340400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6393617568000).

3442201340400 is an abundant number, since it is smaller than the sum of its proper divisors (9345033795600).

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

3442201340400 is a wasteful number, since it uses less digits than its factorization.

3442201340400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853061 (or 853047 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 3442201340400 its reverse (40431022443), we get a palindrome (3482632362843).

The spelling of 3442201340400 in words is "three trillion, four hundred forty-two billion, two hundred one million, three hundred forty thousand, four hundred".