36213760 has 88 divisors (see below), whose sum is σ = 94915296. Its totient is φ = 13148160.

The previous prime is 36213739. The next prime is 36213761. The reversal of 36213760 is 6731263.

It is a tau number, because it is divible by the number of its divisors (88).

It is a super-2 number, since 2×36213760² = 2622872826675200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36213761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55999 + ... + 56641.

Almost surely, 2^36213760 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 36213760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47457648).

36213760 is an abundant number, since it is smaller than the sum of its proper divisors (58701536).

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

36213760 is a wasteful number, since it uses less digits than its factorization.

36213760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 28.

The square root of 36213760 is about 6017.7869686455. The cubic root of 36213760 is about 330.8449726286.

It can be divided in two parts, 3621 and 3760, that added together give a triangular number (7381 = T₁₂₁).

The spelling of 36213760 in words is "thirty-six million, two hundred thirteen thousand, seven hundred sixty".