336315648 has 72 divisors (see below), whose sum is σ = 901404000. Its totient is φ = 111314944.

The previous prime is 336315647. The next prime is 336315649. The reversal of 336315648 is 846513633.

It is an interprime number because it is at equal distance from previous prime (336315647) and next prime (336315649).

It is a super-3 number, since 3×336315648³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (336315647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112963 + ... + 115901.

It is an arithmetic number, because the mean of its divisors is an integer number (12519500).

Almost surely, 2^336315648 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 336315648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450702000).

336315648 is an abundant number, since it is smaller than the sum of its proper divisors (565088352).

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

336315648 is a wasteful number, since it uses less digits than its factorization.

336315648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3107 (or 3093 counting only the distinct ones).

The product of its digits is 155520, while the sum is 39.

The square root of 336315648 is about 18338.9107637286. The cubic root of 336315648 is about 695.4229594251.

The spelling of 336315648 in words is "three hundred thirty-six million, three hundred fifteen thousand, six hundred forty-eight".