3422406365100 has 216 divisors, whose sum is σ = 11264239407120. Its totient is φ = 891416171520.

The previous prime is 3422406365093. The next prime is 3422406365117. The reversal of 3422406365100 is 15636042243.

3422406365100 is a `hidden beast` number, since 3 + 4 + 2 + 2 + 4 + 0 + 636 + 5 + 10 + 0 = 666.

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

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 71 ways as a sum of consecutive naturals, for example, 4649532 + ... + 5335068.

Almost surely, 2^{3422406365100} is an apocalyptic number.

3422406365100 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 3422406365100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5632119703560).

3422406365100 is an abundant number, since it is smaller than the sum of its proper divisors (7841833042020).

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

3422406365100 is a wasteful number, since it uses less digits than its factorization.

3422406365100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685646 (or 685590 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 3422406365100 in words is "three trillion, four hundred twenty-two billion, four hundred six million, three hundred sixty-five thousand, one hundred".