34145400 has 48 divisors (see below), whose sum is σ = 105852600. Its totient is φ = 9105280.

The previous prime is 34145399. The next prime is 34145417. The reversal of 34145400 is 454143.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27855 + ... + 29054.

Almost surely, 2^34145400 is an apocalyptic number.

34145400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34145400 is an abundant number, since it is smaller than the sum of its proper divisors (71707200).

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

34145400 is a wasteful number, since it uses less digits than its factorization.

34145400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56928 (or 56919 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 34145400 is about 5843.4065407089. The cubic root of 34145400 is about 324.4223268771.

Adding to 34145400 its reverse (454143), we get a palindrome (34599543).

The spelling of 34145400 in words is "thirty-four million, one hundred forty-five thousand, four hundred".