36429744 has 80 divisors (see below), whose sum is σ = 102771200. Its totient is φ = 11052288.

The previous prime is 36429739. The next prime is 36429751. The reversal of 36429744 is 44792463.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 48927 + ... + 49665.

It is an arithmetic number, because the mean of its divisors is an integer number (1284640).

Almost surely, 2^36429744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36429744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51385600).

36429744 is an abundant number, since it is smaller than the sum of its proper divisors (66341456).

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

36429744 is a wasteful number, since it uses less digits than its factorization.

36429744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 836 counting only the distinct ones).

The product of its digits is 145152, while the sum is 39.

The square root of 36429744 is about 6035.7057582357. The cubic root of 36429744 is about 331.5014047792.

It can be divided in two parts, 36429 and 744, that added together give a palindrome (37173).

The spelling of 36429744 in words is "thirty-six million, four hundred twenty-nine thousand, seven hundred forty-four".