34736130 has 96 divisors (see below), whose sum is σ = 106142400. Its totient is φ = 7770240.

The previous prime is 34736099. The next prime is 34736153. The reversal of 34736130 is 3163743.

It is a happy number.

34736130 is a `hidden beast` number, since 3 + 47 + 3 + 613 + 0 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34736094 and 34736103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11521 + ... + 14219.

It is an arithmetic number, because the mean of its divisors is an integer number (1105650).

Almost surely, 2^34736130 is an apocalyptic number.

34736130 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 34736130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53071200).

34736130 is an abundant number, since it is smaller than the sum of its proper divisors (71406270).

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

34736130 is a wasteful number, since it uses less digits than its factorization.

34736130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2736 (or 2733 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 34736130 is about 5893.7365058170. The cubic root of 34736130 is about 326.2825219705.

Adding to 34736130 its reverse (3163743), we get a palindrome (37899873).

It can be divided in two parts, 34 and 736130, that added together give a square (736164 = 858²).

The spelling of 34736130 in words is "thirty-four million, seven hundred thirty-six thousand, one hundred thirty".