3452522400000 has 432 divisors, whose sum is σ = 12761408217600. Its totient is φ = 920666880000.

The previous prime is 3452522399969. The next prime is 3452522400049. The reversal of 3452522400000 is 42252543.

It is a happy number.

3452522400000 is a `hidden beast` number, since 3 + 4 + 5 + 252 + 2 + 400 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21520081 + ... + 21679919.

It is an arithmetic number, because the mean of its divisors is an integer number (29540296800).

Almost surely, 2^{3452522400000} is an apocalyptic number.

3452522400000 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 3452522400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6380704108800).

3452522400000 is an abundant number, since it is smaller than the sum of its proper divisors (9308885817600).

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

3452522400000 is an frugal number, since it uses more digits than its factorization.

3452522400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159889 (or 159849 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

Adding to 3452522400000 its reverse (42252543), we get a palindrome (3452564652543).

The spelling of 3452522400000 in words is "three trillion, four hundred fifty-two billion, five hundred twenty-two million, four hundred thousand".