34406010 has 48 divisors (see below), whose sum is σ = 91156104. Its totient is φ = 9000576.

The previous prime is 34406003. The next prime is 34406051. The reversal of 34406010 is 1060443.

It can be written as a sum of positive squares in 4 ways, for example, as 33419961 + 986049 = 5781^2 + 993^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1164 + ... + 8376.

Almost surely, 2^34406010 is an apocalyptic number.

34406010 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 34406010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45578052).

34406010 is an abundant number, since it is smaller than the sum of its proper divisors (56750094).

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

34406010 is a wasteful number, since it uses less digits than its factorization.

34406010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7279 (or 7276 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 34406010 is about 5865.6636453176. The cubic root of 34406010 is about 325.2456052743.

Adding to 34406010 its reverse (1060443), we get a palindrome (35466453).

The spelling of 34406010 in words is "thirty-four million, four hundred six thousand, ten".