36077832 has 128 divisors (see below), whose sum is σ = 116121600. Its totient is φ = 10165824.

The previous prime is 36077819. The next prime is 36077837. The reversal of 36077832 is 23877063.

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

It is not an unprimeable number, because it can be changed into a prime (36077837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161673 + ... + 161895.

It is an arithmetic number, because the mean of its divisors is an integer number (907200).

Almost surely, 2^36077832 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 36077832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58060800).

36077832 is an abundant number, since it is smaller than the sum of its proper divisors (80043768).

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

36077832 is a wasteful number, since it uses less digits than its factorization.

36077832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 36077832 is about 6006.4824981015. The cubic root of 36077832 is about 330.4305124965.

The spelling of 36077832 in words is "thirty-six million, seventy-seven thousand, eight hundred thirty-two".