34120000 has 70 divisors (see below), whose sum is σ = 84705698. Its totient is φ = 13632000.

The previous prime is 34119989. The next prime is 34120001. The reversal of 34120000 is 2143.

It can be written as a sum of positive squares in 5 ways, for example, as 22505536 + 11614464 = 4744^2 + 3408^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34120001) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 39574 + ... + 40426.

Almost surely, 2^34120000 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 34120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42352849).

34120000 is an abundant number, since it is smaller than the sum of its proper divisors (50585698).

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

34120000 is an frugal number, since it uses more digits than its factorization.

34120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 34120000 is about 5841.2327466041. The cubic root of 34120000 is about 324.3418634159.

Adding to 34120000 its reverse (2143), we get a palindrome (34122143).

The spelling of 34120000 in words is "thirty-four million, one hundred twenty thousand".