3417025920 has 512 divisors, whose sum is σ = 14065228800. Its totient is φ = 684687360.

The previous prime is 3417025919. The next prime is 3417025943. The reversal of 3417025920 is 295207143.

3417025920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3417025920² = 23352132275903692800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4286962 + ... + 4287758.

It is an arithmetic number, because the mean of its divisors is an integer number (27471150).

Almost surely, 2^3417025920 is an apocalyptic number.

3417025920 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 3417025920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7032614400).

3417025920 is an abundant number, since it is smaller than the sum of its proper divisors (10648202880).

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

3417025920 is a wasteful number, since it uses less digits than its factorization.

3417025920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 3417025920 is about 58455.3326908675. The cubic root of 3417025920 is about 1506.2003969593.

The spelling of 3417025920 in words is "three billion, four hundred seventeen million, twenty-five thousand, nine hundred twenty".