36210480 has 120 divisors (see below), whose sum is σ = 116729136. Its totient is φ = 9285120.

The previous prime is 36210437. The next prime is 36210509. The reversal of 36210480 is 8401263.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×36210480² = 2622397723660800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 36210480.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 230562 + ... + 230718.

Almost surely, 2^36210480 is an apocalyptic number.

36210480 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 36210480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58364568).

36210480 is an abundant number, since it is smaller than the sum of its proper divisors (80518656).

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

36210480 is a wasteful number, since it uses less digits than its factorization.

36210480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 36210480 is about 6017.5144370413. The cubic root of 36210480 is about 330.8349837526.

The spelling of 36210480 in words is "thirty-six million, two hundred ten thousand, four hundred eighty".