36819090 has 288 divisors, whose sum is σ = 130999680. Its totient is φ = 7318080.

The previous prime is 36819089. The next prime is 36819121. The reversal of 36819090 is 9091863.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1600819 + ... + 1600841.

It is an arithmetic number, because the mean of its divisors is an integer number (454860).

Almost surely, 2^36819090 is an apocalyptic number.

36819090 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 36819090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65499840).

36819090 is an abundant number, since it is smaller than the sum of its proper divisors (94180590).

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

36819090 is a wasteful number, since it uses less digits than its factorization.

36819090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 36819090 is about 6067.8735978924. The cubic root of 36819090 is about 332.6782054883.

It can be divided in two parts, 3681 and 9090, that multiplied together give a triangular number (33460290 = T₈₁₈₀).

The spelling of 36819090 in words is "thirty-six million, eight hundred nineteen thousand, ninety".