36461880 has 384 divisors, whose sum is σ = 155131200. Its totient is φ = 7547904.

The previous prime is 36461879. The next prime is 36461881. The reversal of 36461880 is 8816463.

It is a happy number.

36461880 is a `hidden beast` number, since 3 + 646 + 1 + 8 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (36461879) and next prime (36461881).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36461881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 687934 + ... + 687986.

Almost surely, 2^36461880 is an apocalyptic number.

36461880 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 36461880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77565600).

36461880 is an abundant number, since it is smaller than the sum of its proper divisors (118669320).

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

36461880 is a wasteful number, since it uses less digits than its factorization.

36461880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 36461880 is about 6038.3673290054. The cubic root of 36461880 is about 331.5988526062.

The spelling of 36461880 in words is "thirty-six million, four hundred sixty-one thousand, eight hundred eighty".