361825056 has 288 divisors, whose sum is σ = 1174118400. Its totient is φ = 109175040.

The previous prime is 361825049. The next prime is 361825063. The reversal of 361825056 is 650528163.

361825056 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (361825049) and next prime (361825063).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×361825056² = 261834742298806272, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 361825056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4580025 + ... + 4580103.

It is an arithmetic number, because the mean of its divisors is an integer number (4076800).

Almost surely, 2^361825056 is an apocalyptic number.

361825056 is a gapful number since it is divisible by the number (36) 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 361825056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587059200).

361825056 is an abundant number, since it is smaller than the sum of its proper divisors (812293344).

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

361825056 is a wasteful number, since it uses less digits than its factorization.

361825056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 361825056 is about 19021.6996086049. The cubic root of 361825056 is about 712.5787702386.

The spelling of 361825056 in words is "three hundred sixty-one million, eight hundred twenty-five thousand, fifty-six".