336090350400 has 336 divisors, whose sum is σ = 1263833692800. Its totient is φ = 76597862400.

The previous prime is 336090350377. The next prime is 336090350411. The reversal of 336090350400 is 4053090633.

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

It is a super-2 number, since 2×336090350400² (a number of 24 digits) contains 22 as substring.

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, 11712070 + ... + 11740730.

It is an arithmetic number, because the mean of its divisors is an integer number (3761409800).

Almost surely, 2^336090350400 is an apocalyptic number.

336090350400 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 336090350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631916846400).

336090350400 is an abundant number, since it is smaller than the sum of its proper divisors (927743342400).

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

336090350400 is a wasteful number, since it uses less digits than its factorization.

336090350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29042 (or 29027 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 33.

The spelling of 336090350400 in words is "three hundred thirty-six billion, ninety million, three hundred fifty thousand, four hundred".