34413000 has 64 divisors (see below), whose sum is σ = 107377920. Its totient is φ = 9176000.

The previous prime is 34412999. The next prime is 34413011. The reversal of 34413000 is 31443.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2736 + ... + 8735.

It is an arithmetic number, because the mean of its divisors is an integer number (1677780).

Almost surely, 2^34413000 is an apocalyptic number.

34413000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34413000 is an abundant number, since it is smaller than the sum of its proper divisors (72964920).

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

34413000 is a wasteful number, since it uses less digits than its factorization.

34413000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11495 (or 11481 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 34413000 is about 5866.2594555645. The cubic root of 34413000 is about 325.2676296516.

Adding to 34413000 its reverse (31443), we get a palindrome (34444443).

It can be divided in two parts, 3441 and 3000, that added together give a triangular number (6441 = T₁₁₃).

The spelling of 34413000 in words is "thirty-four million, four hundred thirteen thousand".