366380820 has 168 divisors, whose sum is σ = 1242950856. Its totient is φ = 90139392.

The previous prime is 366380801. The next prime is 366380837. The reversal of 366380820 is 28083663.

It can be written as a sum of positive squares in 4 ways, for example, as 17288964 + 349091856 = 4158^2 + 18684^2 .

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 polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 188574 + ... + 190506.

It is an arithmetic number, because the mean of its divisors is an integer number (7398517).

Almost surely, 2^366380820 is an apocalyptic number.

366380820 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 366380820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621475428).

366380820 is an abundant number, since it is smaller than the sum of its proper divisors (876570036).

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

366380820 is a wasteful number, since it uses less digits than its factorization.

366380820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1973 (or 1956 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 366380820 is about 19141.0767722195. The cubic root of 366380820 is about 715.5570145619.

The spelling of 366380820 in words is "three hundred sixty-six million, three hundred eighty thousand, eight hundred twenty".