34053210 has 80 divisors (see below), whose sum is σ = 96990696. Its totient is φ = 8543232.

The previous prime is 34053203. The next prime is 34053211. The reversal of 34053210 is 1235043.

34053210 is a `hidden beast` number, since 340 + 5 + 321 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 32867289 + 1185921 = 5733^2 + 1089^2 .

It is a super-2 number, since 2×34053210² = 2319242222608200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (34053211) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12534 + ... + 15006.

Almost surely, 2^34053210 is an apocalyptic number.

34053210 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34053210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48495348).

34053210 is an abundant number, since it is smaller than the sum of its proper divisors (62937486).

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

34053210 is a wasteful number, since it uses less digits than its factorization.

34053210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2509 (or 2500 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 34053210 is about 5835.5128309344. The cubic root of 34053210 is about 324.1300917918.

Adding to 34053210 its reverse (1235043), we get a palindrome (35288253).

The spelling of 34053210 in words is "thirty-four million, fifty-three thousand, two hundred ten".