3350035322400 has 576 divisors, whose sum is σ = 12240835786368. Its totient is φ = 790343516160.

The previous prime is 3350035322369. The next prime is 3350035322401. The reversal of 3350035322400 is 42235300533.

3350035322400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3350035322400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (3350035322401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77323144 + ... + 77366456.

It is an arithmetic number, because the mean of its divisors is an integer number (21251451018).

Almost surely, 2^{3350035322400} is an apocalyptic number.

3350035322400 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 3350035322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6120417893184).

3350035322400 is an abundant number, since it is smaller than the sum of its proper divisors (8890800463968).

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

3350035322400 is a wasteful number, since it uses less digits than its factorization.

3350035322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43453 (or 43440 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 30.

The spelling of 3350035322400 in words is "three trillion, three hundred fifty billion, thirty-five million, three hundred twenty-two thousand, four hundred".