34513400 has 48 divisors (see below), whose sum is σ = 84972240. Its totient is φ = 12992000.

The previous prime is 34513379. The next prime is 34513403. The reversal of 34513400 is 431543.

It is a super-3 number, since 3×34513400³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34513403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1676 + ... + 8475.

It is an arithmetic number, because the mean of its divisors is an integer number (1770255).

Almost surely, 2^34513400 is an apocalyptic number.

It is an amenable number.

34513400 is an abundant number, since it is smaller than the sum of its proper divisors (50458840).

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

34513400 is a wasteful number, since it uses less digits than its factorization.

34513400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10184 (or 10175 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 34513400 is about 5874.8106352460. The cubic root of 34513400 is about 325.5836455231.

Adding to 34513400 its reverse (431543), we get a palindrome (34944943).

The spelling of 34513400 in words is "thirty-four million, five hundred thirteen thousand, four hundred".