36838890 has 96 divisors (see below), whose sum is σ = 105670656. Its totient is φ = 8830080.

The previous prime is 36838873. The next prime is 36838897. The reversal of 36838890 is 9883863.

36838890 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36838897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125584 + ... + 125876.

It is an arithmetic number, because the mean of its divisors is an integer number (1100736).

Almost surely, 2^36838890 is an apocalyptic number.

36838890 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 36838890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52835328).

36838890 is an abundant number, since it is smaller than the sum of its proper divisors (68831766).

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

36838890 is a wasteful number, since it uses less digits than its factorization.

36838890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 36838890 is about 6069.5049221497. The cubic root of 36838890 is about 332.7378289795.

The spelling of 36838890 in words is "thirty-six million, eight hundred thirty-eight thousand, eight hundred ninety".