3350416417600 has 336 divisors, whose sum is σ = 9773929428480. Its totient is φ = 1106498764800.

The previous prime is 3350416417597. The next prime is 3350416417619. The reversal of 3350416417600 is 67146140533.

It is a super-2 number, since 2×3350416417600² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 36230622 + ... + 36322978.

It is an arithmetic number, because the mean of its divisors is an integer number (29089075680).

Almost surely, 2^{3350416417600} 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 3350416417600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4886964714240).

3350416417600 is an abundant number, since it is smaller than the sum of its proper divisors (6423513010880).

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

3350416417600 is a wasteful number, since it uses less digits than its factorization.

3350416417600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92506 (or 92491 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The spelling of 3350416417600 in words is "three trillion, three hundred fifty billion, four hundred sixteen million, four hundred seventeen thousand, six hundred".