36829360 has 40 divisors (see below), whose sum is σ = 87043536. Its totient is φ = 14488320.

The previous prime is 36829349. The next prime is 36829363. The reversal of 36829360 is 6392863.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (36829363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1107 + ... + 8653.

Almost surely, 2^36829360 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 36829360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43521768).

36829360 is an abundant number, since it is smaller than the sum of its proper divisors (50214176).

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

36829360 is a wasteful number, since it uses less digits than its factorization.

36829360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7621 (or 7615 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The square root of 36829360 is about 6068.7197991010. The cubic root of 36829360 is about 332.7091340777.

The spelling of 36829360 in words is "thirty-six million, eight hundred twenty-nine thousand, three hundred sixty".