365749020 has 288 divisors, whose sum is σ = 1417747968. Its totient is φ = 77075712.

The previous prime is 365749019. The next prime is 365749039. The reversal of 365749020 is 20947563.

365749020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 441847 + ... + 442673.

It is an arithmetic number, because the mean of its divisors is an integer number (4922736).

Almost surely, 2^365749020 is an apocalyptic number.

365749020 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 365749020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708873984).

365749020 is an abundant number, since it is smaller than the sum of its proper divisors (1051998948).

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

365749020 is a wasteful number, since it uses less digits than its factorization.

365749020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 365749020 is about 19124.5658774258. The cubic root of 365749020 is about 715.1454673299.

The spelling of 365749020 in words is "three hundred sixty-five million, seven hundred forty-nine thousand, twenty".