36968400 has 300 divisors, whose sum is σ = 152560672. Its totient is φ = 8398080.

The previous prime is 36968381. The next prime is 36968411. The reversal of 36968400 is 486963.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 226719 + ... + 226881.

Almost surely, 2^36968400 is an apocalyptic number.

36968400 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 36968400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76280336).

36968400 is an abundant number, since it is smaller than the sum of its proper divisors (115592272).

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

36968400 is a wasteful number, since it uses less digits than its factorization.

36968400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 36968400 is about 6080.1644714596. The cubic root of 36968400 is about 333.1272948929.

The spelling of 36968400 in words is "thirty-six million, nine hundred sixty-eight thousand, four hundred".