36098400 has 216 divisors, whose sum is σ = 128663640. Its totient is φ = 8785920.

The previous prime is 36098399. The next prime is 36098407. The reversal of 36098400 is 489063.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36098407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 405556 + ... + 405644.

It is an arithmetic number, because the mean of its divisors is an integer number (595665).

Almost surely, 2^36098400 is an apocalyptic number.

36098400 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 36098400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64331820).

36098400 is an abundant number, since it is smaller than the sum of its proper divisors (92565240).

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

36098400 is a wasteful number, since it uses less digits than its factorization.

36098400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 36098400 is about 6008.1944043115. The cubic root of 36098400 is about 330.4932934647.

The spelling of 36098400 in words is "thirty-six million, ninety-eight thousand, four hundred".