34411320000 has 420 divisors, whose sum is σ = 125353324096. Its totient is φ = 9020160000.

The previous prime is 34411319959. The next prime is 34411320043. The reversal of 34411320000 is 2311443.

34411320000 is a `hidden beast` number, since 344 + 1 + 1 + 320 + 0 + 0 + 0 = 666.

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

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, 21959217 + ... + 21960783.

Almost surely, 2^34411320000 is an apocalyptic number.

34411320000 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 34411320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62676662048).

34411320000 is an abundant number, since it is smaller than the sum of its proper divisors (90942004096).

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

34411320000 is a wasteful number, since it uses less digits than its factorization.

34411320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1666 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 34411320000 its reverse (2311443), we get a palindrome (34413631443).

The spelling of 34411320000 in words is "thirty-four billion, four hundred eleven million, three hundred twenty thousand".