36796032 has 288 divisors, whose sum is σ = 135888480. Its totient is φ = 9704448.

The previous prime is 36796013. The next prime is 36796043. The reversal of 36796032 is 23069763.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2830458 + ... + 2830470.

It is an arithmetic number, because the mean of its divisors is an integer number (471835).

Almost surely, 2^36796032 is an apocalyptic number.

36796032 is a gapful number since it is divisible by the number (32) 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 36796032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67944240).

36796032 is an abundant number, since it is smaller than the sum of its proper divisors (99092448).

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

36796032 is an equidigital number, since it uses as much as digits as its factorization.

36796032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 36796032 is about 6065.9732937098. The cubic root of 36796032 is about 332.6087442756.

The spelling of 36796032 in words is "thirty-six million, seven hundred ninety-six thousand, thirty-two".