361721088 has 108 divisors (see below), whose sum is σ = 1097955040. Its totient is φ = 114213888.

The previous prime is 361721081. The next prime is 361721093. The reversal of 361721088 is 880127163.

361721088 is a `hidden beast` number, since 361 + 7 + 210 + 88 = 666.

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 (361721081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39645 + ... + 47907.

Almost surely, 2^361721088 is an apocalyptic number.

361721088 is a gapful number since it is divisible by the number (38) 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 361721088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548977520).

361721088 is an abundant number, since it is smaller than the sum of its proper divisors (736233952).

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

361721088 is a wasteful number, since it uses less digits than its factorization.

361721088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8304 (or 8287 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 361721088 is about 19018.9665334371. The cubic root of 361721088 is about 712.5105121256.

The spelling of 361721088 in words is "three hundred sixty-one million, seven hundred twenty-one thousand, eighty-eight".