361543680 has 144 divisors (see below), whose sum is σ = 1253364840. Its totient is φ = 96387072.

The previous prime is 361543661. The next prime is 361543711. The reversal of 361543680 is 86345163.

361543680 is a `hidden beast` number, since 3 + 615 + 4 + 36 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90199 + ... + 94121.

Almost surely, 2^361543680 is an apocalyptic number.

361543680 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 361543680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626682420).

361543680 is an abundant number, since it is smaller than the sum of its proper divisors (891821160).

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

361543680 is a wasteful number, since it uses less digits than its factorization.

361543680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3956 (or 3933 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 361543680 is about 19014.3019856107. The cubic root of 361543680 is about 712.3940082408.

The spelling of 361543680 in words is "three hundred sixty-one million, five hundred forty-three thousand, six hundred eighty".