363427680 has 192 divisors, whose sum is σ = 1427424768. Its totient is φ = 75509760.

The previous prime is 363427661. The next prime is 363427703. The reversal of 363427680 is 86724363.

363427680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32044 + ... + 41876.

It is an arithmetic number, because the mean of its divisors is an integer number (7434504).

Almost surely, 2^363427680 is an apocalyptic number.

363427680 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 363427680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713712384).

363427680 is an abundant number, since it is smaller than the sum of its proper divisors (1063997088).

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

363427680 is a wasteful number, since it uses less digits than its factorization.

363427680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9869 (or 9861 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The square root of 363427680 is about 19063.7792685501. The cubic root of 363427680 is about 713.6292907266.

The spelling of 363427680 in words is "three hundred sixty-three million, four hundred twenty-seven thousand, six hundred eighty".