369954816 has 416 divisors, whose sum is σ = 1358788608. Its totient is φ = 86507520.

The previous prime is 369954811. The next prime is 369954817. The reversal of 369954816 is 618459963.

It is a super-3 number, since 3×369954816³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (369954811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16084981 + ... + 16085003.

Almost surely, 2^369954816 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 369954816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679394304).

369954816 is an abundant number, since it is smaller than the sum of its proper divisors (988833792).

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

369954816 is a wasteful number, since it uses less digits than its factorization.

369954816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 63 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 51.

The square root of 369954816 is about 19234.2095236586. The cubic root of 369954816 is about 717.8762107386.

The spelling of 369954816 in words is "three hundred sixty-nine million, nine hundred fifty-four thousand, eight hundred sixteen".