3350038560000 has 1440 divisors, whose sum is σ = 12735766450176. Its totient is φ = 774144000000.

The previous prime is 3350038559981. The next prime is 3350038560079. The reversal of 3350038560000 is 658300533.

It is a super-2 number, since 2×3350038560000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 15876959895 + ... + 15876960105.

Almost surely, 2^{3350038560000} is an apocalyptic number.

3350038560000 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 3350038560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6367883225088).

3350038560000 is an abundant number, since it is smaller than the sum of its proper divisors (9385727890176).

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

3350038560000 is a wasteful number, since it uses less digits than its factorization.

3350038560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The spelling of 3350038560000 in words is "three trillion, three hundred fifty billion, thirty-eight million, five hundred sixty thousand".