361848000 has 112 divisors (see below), whose sum is σ = 1194901344. Its totient is φ = 96486400.

The previous prime is 361847987. The next prime is 361848017. The reversal of 361848000 is 848163.

It is a happy number.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16462 + ... + 31538.

It is an arithmetic number, because the mean of its divisors is an integer number (10668762).

Almost surely, 2^361848000 is an apocalyptic number.

361848000 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 361848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597450672).

361848000 is an abundant number, since it is smaller than the sum of its proper divisors (833053344).

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

361848000 is a wasteful number, since it uses less digits than its factorization.

361848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15107 (or 15087 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 361848000 is about 19022.3026997259. The cubic root of 361848000 is about 712.5938319021.

The spelling of 361848000 in words is "three hundred sixty-one million, eight hundred forty-eight thousand".