3350506436000 has 384 divisors, whose sum is σ = 8915989904640. Its totient is φ = 1233086976000.

The previous prime is 3350506435999. The next prime is 3350506436009. The reversal of 3350506436000 is 6346050533.

3350506436000 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 2×3350506436000² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3350506436009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2983531439 + ... + 2983532561.

It is an arithmetic number, because the mean of its divisors is an integer number (23218723710).

Almost surely, 2^{3350506436000} 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 3350506436000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4457994952320).

3350506436000 is an abundant number, since it is smaller than the sum of its proper divisors (5565483468640).

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

3350506436000 is a wasteful number, since it uses less digits than its factorization.

3350506436000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2265 (or 2247 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 35.

The spelling of 3350506436000 in words is "three trillion, three hundred fifty billion, five hundred six million, four hundred thirty-six thousand".