34401150 has 144 divisors (see below), whose sum is σ = 107862144. Its totient is φ = 7698240.

The previous prime is 34401139. The next prime is 34401167. The reversal of 34401150 is 5110443.

It is a happy number.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 210969 + ... + 211131.

Almost surely, 2^34401150 is an apocalyptic number.

34401150 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34401150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53931072).

34401150 is an abundant number, since it is smaller than the sum of its proper divisors (73460994).

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

34401150 is a wasteful number, since it uses less digits than its factorization.

34401150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 247 counting only the distinct ones).

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

The square root of 34401150 is about 5865.2493553130. The cubic root of 34401150 is about 325.2302904298.

Adding to 34401150 its reverse (5110443), we get a palindrome (39511593).

The spelling of 34401150 in words is "thirty-four million, four hundred one thousand, one hundred fifty".