3423200901120 has 5760 divisors, whose sum is σ = 18220262860800. Its totient is φ = 601974374400.

The previous prime is 3423200901047. The next prime is 3423200901149. The reversal of 3423200901120 is 211090023243.

It is a happy number.

3423200901120 is a `hidden beast` number, since 3 + 423 + 200 + 9 + 0 + 11 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 110425835505 + ... + 110425835535.

It is an arithmetic number, because the mean of its divisors is an integer number (3163240080).

Almost surely, 2^{3423200901120} is an apocalyptic number.

3423200901120 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 3423200901120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9110131430400).

3423200901120 is an abundant number, since it is smaller than the sum of its proper divisors (14797061959680).

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

3423200901120 is a wasteful number, since it uses less digits than its factorization.

3423200901120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 3423200901120 its reverse (211090023243), we get a palindrome (3634290924363).

The spelling of 3423200901120 in words is "three trillion, four hundred twenty-three billion, two hundred million, nine hundred one thousand, one hundred twenty".