36285480 has 432 divisors, whose sum is σ = 159655860. Its totient is φ = 7096320.

The previous prime is 36285439. The next prime is 36285499. The reversal of 36285480 is 8458263.

It can be written as a sum of positive squares in 2 ways, for example, as 36072036 + 213444 = 6006^2 + 462^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2134432 + ... + 2134448.

Almost surely, 2^36285480 is an apocalyptic number.

36285480 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 36285480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79827930).

36285480 is an abundant number, since it is smaller than the sum of its proper divisors (123370380).

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

36285480 is a wasteful number, since it uses less digits than its factorization.

36285480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 36285480 is about 6023.7430224072. The cubic root of 36285480 is about 331.0632373101.

The spelling of 36285480 in words is "thirty-six million, two hundred eighty-five thousand, four hundred eighty".