3417416002000 has 640 divisors, whose sum is σ = 11205308814336. Its totient is φ = 973440000000.

The previous prime is 3417416001991. The next prime is 3417416002057. The reversal of 3417416002000 is 2006147143.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 3417416002000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 202193550 + ... + 202210450.

Almost surely, 2^{3417416002000} 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 3417416002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5602654407168).

3417416002000 is an abundant number, since it is smaller than the sum of its proper divisors (7787892812336).

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

3417416002000 is a wasteful number, since it uses less digits than its factorization.

3417416002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17056 (or 17040 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The spelling of 3417416002000 in words is "three trillion, four hundred seventeen billion, four hundred sixteen million, two thousand".