34800150 has 192 divisors, whose sum is σ = 113135616. Its totient is φ = 6864000.

The previous prime is 34800137. The next prime is 34800151. The reversal of 34800150 is 5100843.

It is a super-2 number, since 2×34800150² = 2422100880045000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34800151) 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, 265585 + ... + 265715.

It is an arithmetic number, because the mean of its divisors is an integer number (589248).

Almost surely, 2^34800150 is an apocalyptic number.

34800150 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 34800150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56567808).

34800150 is an abundant number, since it is smaller than the sum of its proper divisors (78335466).

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

34800150 is a wasteful number, since it uses less digits than its factorization.

34800150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 34800150 is about 5899.1651951780. The cubic root of 34800150 is about 326.4828492891.

Adding to 34800150 its reverse (5100843), we get a palindrome (39900993).

The spelling of 34800150 in words is "thirty-four million, eight hundred thousand, one hundred fifty".