34050000 has 120 divisors (see below), whose sum is σ = 110430432. Its totient is φ = 9040000.

The previous prime is 34049993. The next prime is 34050011. The reversal of 34050000 is 5043.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149887 + ... + 150113.

Almost surely, 2^34050000 is an apocalyptic number.

34050000 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 34050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55215216).

34050000 is an abundant number, since it is smaller than the sum of its proper divisors (76380432).

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

34050000 is an equidigital number, since it uses as much as digits as its factorization.

34050000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 34050000 is about 5835.2377843581. The cubic root of 34050000 is about 324.1199068460.

Adding to 34050000 its reverse (5043), we get a palindrome (34055043).

The spelling of 34050000 in words is "thirty-four million, fifty thousand", and thus it is an eban number.