369785220 has 192 divisors, whose sum is σ = 1257984000. Its totient is φ = 79280640.

The previous prime is 369785209. The next prime is 369785249. The reversal of 369785220 is 22587963.

It is a super-2 number, since 2×369785220² = 273482217860896800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1188865 + ... + 1189175.

It is an arithmetic number, because the mean of its divisors is an integer number (6552000).

Almost surely, 2^369785220 is an apocalyptic number.

369785220 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 369785220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628992000).

369785220 is an abundant number, since it is smaller than the sum of its proper divisors (888198780).

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

369785220 is a wasteful number, since it uses less digits than its factorization.

369785220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 369785220 is about 19229.8003109757. The cubic root of 369785220 is about 717.7664968515.

The spelling of 369785220 in words is "three hundred sixty-nine million, seven hundred eighty-five thousand, two hundred twenty".