36434970 has 192 divisors, whose sum is σ = 117936000. Its totient is φ = 7672320.

The previous prime is 36434963. The next prime is 36434971. The reversal of 36434970 is 7943463.

36434970 is a `hidden beast` number, since 3 + 643 + 4 + 9 + 7 + 0 = 666.

36434970 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36434971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 244456 + ... + 244604.

It is an arithmetic number, because the mean of its divisors is an integer number (614250).

Almost surely, 2^36434970 is an apocalyptic number.

36434970 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 36434970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58968000).

36434970 is an abundant number, since it is smaller than the sum of its proper divisors (81501030).

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

36434970 is a wasteful number, since it uses less digits than its factorization.

36434970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 36434970 is about 6036.1386663992. The cubic root of 36434970 is about 331.5172557782.

The spelling of 36434970 in words is "thirty-six million, four hundred thirty-four thousand, nine hundred seventy".