336013350400 has 960 divisors, whose sum is σ = 1104769290240. Its totient is φ = 98264678400.

The previous prime is 336013350389. The next prime is 336013350433. The reversal of 336013350400 is 4053310633.

It is a super-3 number, since 3×336013350400³ (a number of 36 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 (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1405913481 + ... + 1405913719.

It is an arithmetic number, because the mean of its divisors is an integer number (1150801344).

Almost surely, 2^336013350400 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 336013350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552384645120).

336013350400 is an abundant number, since it is smaller than the sum of its proper divisors (768755939840).

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

336013350400 is a wasteful number, since it uses less digits than its factorization.

336013350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 28.

The spelling of 336013350400 in words is "three hundred thirty-six billion, thirteen million, three hundred fifty thousand, four hundred".