366145920 has 320 divisors, whose sum is σ = 1495850400. Its totient is φ = 83607552.

The previous prime is 366145859. The next prime is 366145931. The reversal of 366145920 is 29541663.

It is a happy number.

366145920 is a `hidden beast` number, since 3 + 6 + 61 + 4 + 592 + 0 = 666.

366145920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

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

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 39 ways as a sum of consecutive naturals, for example, 362376 + ... + 363384.

Almost surely, 2^366145920 is an apocalyptic number.

366145920 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 366145920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747925200).

366145920 is an abundant number, since it is smaller than the sum of its proper divisors (1129704480).

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

366145920 is a wasteful number, since it uses less digits than its factorization.

366145920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 366145920 is about 19134.9397699601. The cubic root of 366145920 is about 715.4040587047.

The spelling of 366145920 in words is "three hundred sixty-six million, one hundred forty-five thousand, nine hundred twenty".