36729090 has 96 divisors (see below), whose sum is σ = 102885120. Its totient is φ = 9061632.

The previous prime is 36729073. The next prime is 36729097. The reversal of 36729090 is 9092763.

36729090 is a `hidden beast` number, since 367 + 290 + 9 + 0 = 666.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (36729097) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80142 + ... + 80598.

It is an arithmetic number, because the mean of its divisors is an integer number (1071720).

Almost surely, 2^36729090 is an apocalyptic number.

36729090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 36729090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51442560).

36729090 is an abundant number, since it is smaller than the sum of its proper divisors (66156030).

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

36729090 is a wasteful number, since it uses less digits than its factorization.

36729090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 36729090 is about 6060.4529533691. The cubic root of 36729090 is about 332.4069198818.

The spelling of 36729090 in words is "thirty-six million, seven hundred twenty-nine thousand, ninety".