3462422445000 has 240 divisors, whose sum is σ = 12034699960140. Its totient is φ = 898357824000.

The previous prime is 3462422444947. The next prime is 3462422445019. The reversal of 3462422445000 is 5442242643.

3462422445000 is a `hidden beast` number, since 3 + 4 + 624 + 2 + 24 + 4 + 5 + 0 + 0 + 0 = 666.

3462422445000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 358151977764 + 3104270467236 = 598458^2 + 1761894^2 .

It is a super-3 number, since 3×3462422445000³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 625234 + ... + 2704766.

Almost surely, 2^{3462422445000} is an apocalyptic number.

3462422445000 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 3462422445000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6017349980070).

3462422445000 is an abundant number, since it is smaller than the sum of its proper divisors (8572277515140).

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

3462422445000 is a wasteful number, since it uses less digits than its factorization.

3462422445000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2079602 (or 2079580 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 3462422445000 its reverse (5442242643), we get a palindrome (3467864687643).

The spelling of 3462422445000 in words is "three trillion, four hundred sixty-two billion, four hundred twenty-two million, four hundred forty-five thousand".