336887040 has 288 divisors, whose sum is σ = 1252694016. Its totient is φ = 75571200.

The previous prime is 336887029. The next prime is 336887041. The reversal of 336887040 is 40788633.

It is a super-2 number, since 2×336887040² = 226985755439923200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 336887040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (336887041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2230965 + ... + 2231115.

It is an arithmetic number, because the mean of its divisors is an integer number (4349632).

Almost surely, 2^336887040 is an apocalyptic number.

336887040 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 336887040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626347008).

336887040 is an abundant number, since it is smaller than the sum of its proper divisors (915806976).

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

336887040 is a wasteful number, since it uses less digits than its factorization.

336887040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 336887040 is about 18354.4828311778. The cubic root of 336887040 is about 695.8165720880.

The spelling of 336887040 in words is "three hundred thirty-six million, eight hundred eighty-seven thousand, forty".