365666400 has 576 divisors, whose sum is σ = 1537401600. Its totient is φ = 83980800.

The previous prime is 365666387. The next prime is 365666407. The reversal of 365666400 is 4666563.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (365666407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19245591 + ... + 19245609.

It is an arithmetic number, because the mean of its divisors is an integer number (2669100).

Almost surely, 2^365666400 is an apocalyptic number.

365666400 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 365666400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768700800).

365666400 is an abundant number, since it is smaller than the sum of its proper divisors (1171735200).

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

365666400 is a wasteful number, since it uses less digits than its factorization.

365666400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 365666400 is about 19122.4057063958. The cubic root of 365666400 is about 715.0916145831.

The spelling of 365666400 in words is "three hundred sixty-five million, six hundred sixty-six thousand, four hundred".