34412000 has 96 divisors (see below), whose sum is σ = 96707520. Its totient is φ = 11788800.

The previous prime is 34411973. The next prime is 34412023. The reversal of 34412000 is 21443.

34412000 = T₁₄₆ + T₁₄₇ + ... + T₅₉₃.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27386 + ... + 28614.

It is an arithmetic number, because the mean of its divisors is an integer number (1007370).

Almost surely, 2^34412000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48353760).

34412000 is an abundant number, since it is smaller than the sum of its proper divisors (62295520).

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

34412000 is a wasteful number, since it uses less digits than its factorization.

34412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1261 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 34412000 is about 5866.1742217565. The cubic root of 34412000 is about 325.2644789936.

Adding to 34412000 its reverse (21443), we get a palindrome (34433443).

The spelling of 34412000 in words is "thirty-four million, four hundred twelve thousand".