361888896 has 128 divisors (see below), whose sum is σ = 1021060800. Its totient is φ = 113246208.

The previous prime is 361888889. The next prime is 361888921. The reversal of 361888896 is 698888163.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (57).

Its product of digits (3981312) is a multiple of the sum of its prime factors (486).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1408000 + ... + 1408256.

Almost surely, 2^361888896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361888896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510530400).

361888896 is an abundant number, since it is smaller than the sum of its proper divisors (659171904).

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

361888896 is a wasteful number, since it uses less digits than its factorization.

361888896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 474 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 57.

The square root of 361888896 is about 19023.3776180782. The cubic root of 361888896 is about 712.6206766358.

The spelling of 361888896 in words is "three hundred sixty-one million, eight hundred eighty-eight thousand, eight hundred ninety-six".