36466800 has 60 divisors (see below), whose sum is σ = 116819160. Its totient is φ = 9724160.

The previous prime is 36466769. The next prime is 36466811. The reversal of 36466800 is 866463.

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13995 + ... + 16394.

It is an arithmetic number, because the mean of its divisors is an integer number (1946986).

Almost surely, 2^36466800 is an apocalyptic number.

36466800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36466800 is an abundant number, since it is smaller than the sum of its proper divisors (80352360).

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

36466800 is a wasteful number, since it uses less digits than its factorization.

36466800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30410 (or 30399 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 36466800 is about 6038.7747101544. The cubic root of 36466800 is about 331.6137667483.

The spelling of 36466800 in words is "thirty-six million, four hundred sixty-six thousand, eight hundred".