369860400 has 360 divisors, whose sum is σ = 1581114080. Its totient is φ = 77967360.

The previous prime is 369860389. The next prime is 369860453. The reversal of 369860400 is 4068963.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 327036 + ... + 328164.

Almost surely, 2^369860400 is an apocalyptic number.

369860400 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 369860400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790557040).

369860400 is an abundant number, since it is smaller than the sum of its proper divisors (1211253680).

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

369860400 is a wasteful number, since it uses less digits than its factorization.

369860400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 369860400 is about 19231.7549901199. The cubic root of 369860400 is about 717.8151359225.

The spelling of 369860400 in words is "three hundred sixty-nine million, eight hundred sixty thousand, four hundred".