369420800 has 360 divisors, whose sum is σ = 1156890240. Its totient is φ = 116121600.

The previous prime is 369420797. The next prime is 369420803. The reversal of 369420800 is 8024963.

It is an interprime number because it is at equal distance from previous prime (369420797) and next prime (369420803).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (369420803) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11916785 + ... + 11916815.

It is an arithmetic number, because the mean of its divisors is an integer number (3213584).

Almost surely, 2^369420800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 369420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578445120).

369420800 is an abundant number, since it is smaller than the sum of its proper divisors (787469440).

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

369420800 is a wasteful number, since it uses less digits than its factorization.

369420800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 369420800 is about 19220.3225779382. The cubic root of 369420800 is about 717.5306352178.

The spelling of 369420800 in words is "three hundred sixty-nine million, four hundred twenty thousand, eight hundred".