3417890625 has 48 divisors (see below), whose sum is σ = 6172445136. Its totient is φ = 1822500000.

The previous prime is 3417890611. The next prime is 3417890633. The reversal of 3417890625 is 5260987143.

3417890625 is a `hidden beast` number, since 3 + 4 + 17 + 8 + 9 + 0 + 625 = 666.

3417890625 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 3212168976 + 205721649 = 56676^2 + 14343^2 .

It is not a de Polignac number, because 3417890625 - 2¹¹ = 3417888577 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

3417890625 is strictly pandigital in base 10.

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, 700695 + ... + 705555.

It is an arithmetic number, because the mean of its divisors is an integer number (128592607).

It is a 1-persistent number, because it is pandigital, but 2⋅3417890625 = 6835781250 is not.

Almost surely, 2^3417890625 is an apocalyptic number.

3417890625 is the 31250-th nonagonal number.

It is an amenable number.

3417890625 is a deficient number, since it is larger than the sum of its proper divisors (2754554511).

3417890625 is an frugal number, since it uses more digits than its factorization.

3417890625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4902 (or 4869 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 3417890625 is about 58462.7285114200. The cubic root of 3417890625 is about 1506.3274381542.

The spelling of 3417890625 in words is "three billion, four hundred seventeen million, eight hundred ninety thousand, six hundred twenty-five".