3417845376 has 192 divisors, whose sum is σ = 10568456640. Its totient is φ = 974561280.

The previous prime is 3417845369. The next prime is 3417845377. The reversal of 3417845376 is 6735487143.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (3417845377) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 787725 + ... + 792051.

It is an arithmetic number, because the mean of its divisors is an integer number (55044045).

Almost surely, 2^3417845376 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 3417845376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5284228320).

3417845376 is an abundant number, since it is smaller than the sum of its proper divisors (7150611264).

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

3417845376 is a wasteful number, since it uses less digits than its factorization.

3417845376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4383 (or 4360 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 48.

The square root of 3417845376 is about 58462.3415199905. The cubic root of 3417845376 is about 1506.3207907685.

The spelling of 3417845376 in words is "three billion, four hundred seventeen million, eight hundred forty-five thousand, three hundred seventy-six".