361880064 has 240 divisors, whose sum is σ = 1286917632. Its totient is φ = 95330304.

The previous prime is 361880059. The next prime is 361880069. The reversal of 361880064 is 460088163.

It is a happy number.

361880064 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 (361880059) and next prime (361880069).

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 (361880069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 418897 + ... + 419759.

Almost surely, 2^361880064 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 361880064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643458816).

361880064 is an abundant number, since it is smaller than the sum of its proper divisors (925037568).

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

361880064 is a wasteful number, since it uses less digits than its factorization.

361880064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 361880064 is about 19023.1454812289. The cubic root of 361880064 is about 712.6148793528.

The spelling of 361880064 in words is "three hundred sixty-one million, eight hundred eighty thousand, sixty-four".