34145100 has 108 divisors (see below), whose sum is σ = 116789400. Its totient is φ = 8275200.

The previous prime is 34145099. The next prime is 34145123. The reversal of 34145100 is 154143.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8176 + ... + 11624.

Almost surely, 2^34145100 is an apocalyptic number.

34145100 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 34145100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58394700).

34145100 is an abundant number, since it is smaller than the sum of its proper divisors (82644300).

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

34145100 is a wasteful number, since it uses less digits than its factorization.

34145100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3480 (or 3470 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 34145100 is about 5843.3808706946. The cubic root of 34145100 is about 324.4213767542.

Adding to 34145100 its reverse (154143), we get a palindrome (34299243).

The spelling of 34145100 in words is "thirty-four million, one hundred forty-five thousand, one hundred".