369966240 has 432 divisors, whose sum is σ = 1544804352. Its totient is φ = 78962688.

The previous prime is 369966229. The next prime is 369966241. The reversal of 369966240 is 42669963.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (369966241) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2913057 + ... + 2913183.

It is an arithmetic number, because the mean of its divisors is an integer number (3575936).

Almost surely, 2^369966240 is an apocalyptic number.

369966240 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 369966240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772402176).

369966240 is an abundant number, since it is smaller than the sum of its proper divisors (1174838112).

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

369966240 is a wasteful number, since it uses less digits than its factorization.

369966240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 369966240 is about 19234.5064922394. The cubic root of 369966240 is about 717.8835998693.

The spelling of 369966240 in words is "three hundred sixty-nine million, nine hundred sixty-six thousand, two hundred forty".