36373920 has 144 divisors (see below), whose sum is σ = 126518112. Its totient is φ = 8711680.

The previous prime is 36373903. The next prime is 36373927. The reversal of 36373920 is 2937363.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36373927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 438199 + ... + 438281.

It is an arithmetic number, because the mean of its divisors is an integer number (878598).

Almost surely, 2^36373920 is an apocalyptic number.

36373920 is a gapful number since it is divisible by the number (30) 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 36373920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63259056).

36373920 is an abundant number, since it is smaller than the sum of its proper divisors (90144192).

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

36373920 is a wasteful number, since it uses less digits than its factorization.

36373920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 33.

The square root of 36373920 is about 6031.0795053622. The cubic root of 36373920 is about 331.3319901470.

It can be divided in two parts, 3637 and 3920, that added together give a palindrome (7557).

The spelling of 36373920 in words is "thirty-six million, three hundred seventy-three thousand, nine hundred twenty".