3416630280000 has 1120 divisors, whose sum is σ = 13419096514560. Its totient is φ = 750504960000.

The previous prime is 3416630279987. The next prime is 3416630280067. The reversal of 3416630280000 is 820366143.

It is a tau number, because it is divible by the number of its divisors (1120).

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, 4661159634 + ... + 4661160366.

Almost surely, 2^{3416630280000} is an apocalyptic number.

3416630280000 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 3416630280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6709548257280).

3416630280000 is an abundant number, since it is smaller than the sum of its proper divisors (10002466234560).

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

3416630280000 is a wasteful number, since it uses less digits than its factorization.

3416630280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 3416630280000 in words is "three trillion, four hundred sixteen billion, six hundred thirty million, two hundred eighty thousand".