3416382288 has 240 divisors, whose sum is σ = 11107324800. Its totient is φ = 972149760.

The previous prime is 3416382253. The next prime is 3416382301. The reversal of 3416382288 is 8822836143.

3416382288 is a `hidden beast` number, since 3 + 4 + 1 + 638 + 2 + 2 + 8 + 8 = 666.

3416382288 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3416382288² = 23343335875520229888, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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, 7781973 + ... + 7782411.

It is an arithmetic number, because the mean of its divisors is an integer number (46280520).

Almost surely, 2^3416382288 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 3416382288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5553662400).

3416382288 is an abundant number, since it is smaller than the sum of its proper divisors (7690942512).

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

3416382288 is a wasteful number, since it uses less digits than its factorization.

3416382288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 472 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 3416382288 is about 58449.8270998298. The cubic root of 3416382288 is about 1506.1058215721.

The spelling of 3416382288 in words is "three billion, four hundred sixteen million, three hundred eighty-two thousand, two hundred eighty-eight".