34401105000 has 600 divisors, whose sum is σ = 125934867630. Its totient is φ = 8769600000.

The previous prime is 34401104977. The next prime is 34401105007. The reversal of 34401105000 is 50110443.

It is a happy number.

It can be written as a sum of positive squares in 15 ways, for example, as 4248171684 + 30152933316 = 65178^2 + 173646^2 .

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-3 number, since 3×34401105000³ (a number of 33 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (34401105007) by changing a digit.

It is a polite number, since it can be written in 149 ways as a sum of consecutive naturals, for example, 340604950 + ... + 340605050.

Almost surely, 2^34401105000 is an apocalyptic number.

34401105000 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 34401105000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62967433815).

34401105000 is an abundant number, since it is smaller than the sum of its proper divisors (91533762630).

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

34401105000 is a wasteful number, since it uses less digits than its factorization.

34401105000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 34401105000 its reverse (50110443), we get a palindrome (34451215443).

The spelling of 34401105000 in words is "thirty-four billion, four hundred one million, one hundred five thousand".