36429696 has 128 divisors (see below), whose sum is σ = 109670400. Its totient is φ = 11902464.

The previous prime is 36429671. The next prime is 36429697. The reversal of 36429696 is 69692463.

36429696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36429697) 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 15 ways as a sum of consecutive naturals, for example, 286785 + ... + 286911.

It is an arithmetic number, because the mean of its divisors is an integer number (856800).

Almost surely, 2^36429696 is an apocalyptic number.

36429696 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36429696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54835200).

36429696 is an abundant number, since it is smaller than the sum of its proper divisors (73240704).

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

36429696 is a wasteful number, since it uses less digits than its factorization.

36429696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 215 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 36429696 is about 6035.7017818974. The cubic root of 36429696 is about 331.5012591832.

The spelling of 36429696 in words is "thirty-six million, four hundred twenty-nine thousand, six hundred ninety-six".