34380000 has 180 divisors, whose sum is σ = 122810688. Its totient is φ = 9120000.

The previous prime is 34379981. The next prime is 34380019. The reversal of 34380000 is 8343.

It is an interprime number because it is at equal distance from previous prime (34379981) and next prime (34380019).

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 179905 + ... + 180095.

Almost surely, 2^34380000 is an apocalyptic number.

34380000 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 34380000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61405344).

34380000 is an abundant number, since it is smaller than the sum of its proper divisors (88430688).

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

34380000 is a wasteful number, since it uses less digits than its factorization.

34380000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 201 counting only the distinct ones).

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

The square root of 34380000 is about 5863.4460857076. The cubic root of 34380000 is about 325.1636256934.

Adding to 34380000 its reverse (8343), we get a palindrome (34388343).

The spelling of 34380000 in words is "thirty-four million, three hundred eighty thousand".