3417820728 has 128 divisors (see below), whose sum is σ = 9963648000. Its totient is φ = 956805120.

The previous prime is 3417820717. The next prime is 3417820739. The reversal of 3417820728 is 8270287143.

It is an interprime number because it is at equal distance from previous prime (3417820717) and next prime (3417820739).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 3417820728.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3678568 + ... + 3679496.

It is an arithmetic number, because the mean of its divisors is an integer number (77841000).

Almost surely, 2^3417820728 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 3417820728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4981824000).

3417820728 is an abundant number, since it is smaller than the sum of its proper divisors (6545827272).

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

3417820728 is a wasteful number, since it uses less digits than its factorization.

3417820728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 3417820728 is about 58462.1307172429. The cubic root of 3417820728 is about 1506.3171697851.

The spelling of 3417820728 in words is "three billion, four hundred seventeen million, eight hundred twenty thousand, seven hundred twenty-eight".