36961200 has 90 divisors (see below), whose sum is σ = 128278124. Its totient is φ = 9855360.

The previous prime is 36961189. The next prime is 36961201. The reversal of 36961200 is 216963.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×36961200² = 2732260610880000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (36961201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1534 + ... + 8733.

Almost surely, 2^36961200 is an apocalyptic number.

36961200 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 36961200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64139062).

36961200 is an abundant number, since it is smaller than the sum of its proper divisors (91316924).

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

36961200 is a wasteful number, since it uses less digits than its factorization.

36961200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10291 (or 10277 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 36961200 is about 6079.5723533814. The cubic root of 36961200 is about 333.1056667614.

The spelling of 36961200 in words is "thirty-six million, nine hundred sixty-one thousand, two hundred".