3423623616000 has 1920 divisors, whose sum is σ = 14780892462336. Its totient is φ = 745301606400.

The previous prime is 3423623615891. The next prime is 3423623616029. The reversal of 3423623616000 is 6163263243.

3423623616000 is a `hidden beast` number, since 3 + 4 + 2 + 36 + 2 + 3 + 616 + 0 + 0 + 0 = 666.

3423623616000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7906751784 + ... + 7906752216.

Almost surely, 2^{3423623616000} is an apocalyptic number.

3423623616000 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 3423623616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7390446231168).

3423623616000 is an abundant number, since it is smaller than the sum of its proper divisors (11357268846336).

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

3423623616000 is a wasteful number, since it uses less digits than its factorization.

3423623616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

Adding to 3423623616000 its reverse (6163263243), we get a palindrome (3429786879243).

The spelling of 3423623616000 in words is "three trillion, four hundred twenty-three billion, six hundred twenty-three million, six hundred sixteen thousand".