3422251501200 has 480 divisors, whose sum is σ = 13926644709120. Its totient is φ = 781899264000.

The previous prime is 3422251501147. The next prime is 3422251501219. The reversal of 3422251501200 is 21051522243.

3422251501200 is a `hidden beast` number, since 3 + 4 + 2 + 22 + 515 + 0 + 120 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 209933050 + ... + 209949350.

It is an arithmetic number, because the mean of its divisors is an integer number (29013843144).

Almost surely, 2^{3422251501200} is an apocalyptic number.

3422251501200 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 3422251501200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6963322354560).

3422251501200 is an abundant number, since it is smaller than the sum of its proper divisors (10504393207920).

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

3422251501200 is a wasteful number, since it uses less digits than its factorization.

3422251501200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19112 (or 19095 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 3422251501200 in words is "three trillion, four hundred twenty-two billion, two hundred fifty-one million, five hundred one thousand, two hundred".