34867200 has 144 divisors (see below), whose sum is σ = 115773840. Its totient is φ = 9256960.

The previous prime is 34867199. The next prime is 34867207. The reversal of 34867200 is 276843.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (34867207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153487 + ... + 153713.

It is an arithmetic number, because the mean of its divisors is an integer number (803985).

Almost surely, 2^34867200 is an apocalyptic number.

34867200 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 34867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57886920).

34867200 is an abundant number, since it is smaller than the sum of its proper divisors (80906640).

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

34867200 is a wasteful number, since it uses less digits than its factorization.

34867200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 34867200 is about 5904.8454679187. The cubic root of 34867200 is about 326.6923946602.

The spelling of 34867200 in words is "thirty-four million, eight hundred sixty-seven thousand, two hundred".