34412211000 has 384 divisors, whose sum is σ = 124777972800. Its totient is φ = 8527334400.

The previous prime is 34412210993. The next prime is 34412211007. The reversal of 34412211000 is 11221443.

34412211000 is a `hidden beast` number, since 3 + 441 + 221 + 1 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (34412210993) and next prime (34412211007).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34412211007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9061102 + ... + 9064898.

Almost surely, 2^34412211000 is an apocalyptic number.

34412211000 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 34412211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62388986400).

34412211000 is an abundant number, since it is smaller than the sum of its proper divisors (90365761800).

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

34412211000 is a wasteful number, since it uses less digits than its factorization.

34412211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3896 (or 3879 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 34412211000 its reverse (11221443), we get a palindrome (34423432443).

The spelling of 34412211000 in words is "thirty-four billion, four hundred twelve million, two hundred eleven thousand".