36898400 has 144 divisors (see below), whose sum is σ = 112492800. Its totient is φ = 11481600.

The previous prime is 36898373. The next prime is 36898409. The reversal of 36898400 is 489863.

It is a super-2 number, since 2×36898400² = 2722983845120000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36898409) 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, 61301 + ... + 61899.

It is an arithmetic number, because the mean of its divisors is an integer number (781200).

Almost surely, 2^36898400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36898400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56246400).

36898400 is an abundant number, since it is smaller than the sum of its proper divisors (75594400).

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

36898400 is a wasteful number, since it uses less digits than its factorization.

36898400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 36898400 is about 6074.4053206878. The cubic root of 36898400 is about 332.9169021942.

The spelling of 36898400 in words is "thirty-six million, eight hundred ninety-eight thousand, four hundred".