336942144 has 336 divisors, whose sum is σ = 1232464896. Its totient is φ = 85478400.

The previous prime is 336942139. The next prime is 336942167. The reversal of 336942144 is 441249633.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×336942144³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 336942099 and 336942108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3148939 + ... + 3149045.

Almost surely, 2^336942144 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 336942144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616232448).

336942144 is an abundant number, since it is smaller than the sum of its proper divisors (895522752).

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

336942144 is a wasteful number, since it uses less digits than its factorization.

336942144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 201 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 336942144 is about 18355.9838744754. The cubic root of 336942144 is about 695.8545078365.

The spelling of 336942144 in words is "three hundred thirty-six million, nine hundred forty-two thousand, one hundred forty-four".