36250800 has 120 divisors (see below), whose sum is σ = 123023376. Its totient is φ = 9093120.

The previous prime is 36250793. The next prime is 36250807. The reversal of 36250800 is 805263.

It is an interprime number because it is at equal distance from previous prime (36250793) and next prime (36250807).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×36250800³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (36250807) 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, 19512 + ... + 21288.

Almost surely, 2^36250800 is an apocalyptic number.

36250800 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 36250800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61511688).

36250800 is an abundant number, since it is smaller than the sum of its proper divisors (86772576).

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

36250800 is a wasteful number, since it uses less digits than its factorization.

36250800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1815 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 36250800 is about 6020.8637254135. The cubic root of 36250800 is about 330.9577319971.

The spelling of 36250800 in words is "thirty-six million, two hundred fifty thousand, eight hundred".