3622785400080 has 1600 divisors, whose sum is σ = 16240617676800. Its totient is φ = 741828326400.

The previous prime is 3622785400043. The next prime is 3622785400093. The reversal of 3622785400080 is 800045872263.

3622785400080 is a `hidden beast` number, since 3 + 6 + 2 + 27 + 8 + 540 + 0 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 3622785399999 and 3622785400035.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1735880797 + ... + 1735882883.

It is an arithmetic number, because the mean of its divisors is an integer number (10150386048).

Almost surely, 2^{3622785400080} is an apocalyptic number.

3622785400080 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 3622785400080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8120308838400).

3622785400080 is an abundant number, since it is smaller than the sum of its proper divisors (12617832276720).

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

3622785400080 is a wasteful number, since it uses less digits than its factorization.

3622785400080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2215 (or 2186 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 3622785400080 in words is "three trillion, six hundred twenty-two billion, seven hundred eighty-five million, four hundred thousand, eighty".