36904100 has 36 divisors (see below), whose sum is σ = 82044228. Its totient is φ = 14400000.

The previous prime is 36904081. The next prime is 36904129. The reversal of 36904100 is 140963.

It can be written as a sum of positive squares in 6 ways, for example, as 11723776 + 25180324 = 3424^2 + 5018^2 .

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 11 ways as a sum of consecutive naturals, for example, 401 + ... + 8600.

Almost surely, 2^36904100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36904100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41022114).

36904100 is an abundant number, since it is smaller than the sum of its proper divisors (45140128).

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

36904100 is a wasteful number, since it uses less digits than its factorization.

36904100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9056 (or 9049 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 36904100 is about 6074.8744843001. The cubic root of 36904100 is about 332.9340441176.

The spelling of 36904100 in words is "thirty-six million, nine hundred four thousand, one hundred".