36998400 has 216 divisors, whose sum is σ = 127741824. Its totient is φ = 9420800.

The previous prime is 36998393. The next prime is 36998411. The reversal of 36998400 is 489963.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 787177 + ... + 787223.

Almost surely, 2^36998400 is an apocalyptic number.

36998400 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 36998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63870912).

36998400 is an abundant number, since it is smaller than the sum of its proper divisors (90743424).

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

36998400 is a wasteful number, since it uses less digits than its factorization.

36998400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 36998400 is about 6082.6310096865. The cubic root of 36998400 is about 333.2173818927.

The spelling of 36998400 in words is "thirty-six million, nine hundred ninety-eight thousand, four hundred".