36435980 has 48 divisors (see below), whose sum is σ = 87829056. Its totient is φ = 12437760.

The previous prime is 36435937. The next prime is 36435983. The reversal of 36435980 is 8953463.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (36435983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43970 + ... + 44790.

It is an arithmetic number, because the mean of its divisors is an integer number (1829772).

Almost surely, 2^36435980 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 36435980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43914528).

36435980 is an abundant number, since it is smaller than the sum of its proper divisors (51393076).

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

36435980 is a wasteful number, since it uses less digits than its factorization.

36435980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 38.

The square root of 36435980 is about 6036.2223285760. Note that the first 3 decimals coincide. The cubic root of 36435980 is about 331.5203190380.

The spelling of 36435980 in words is "thirty-six million, four hundred thirty-five thousand, nine hundred eighty".