3416143248 has 200 divisors, whose sum is σ = 11429447040. Its totient is φ = 964846080.

The previous prime is 3416143231. The next prime is 3416143261. The reversal of 3416143248 is 8423416143.

3416143248 is a `hidden beast` number, since 3 + 4 + 1 + 614 + 32 + 4 + 8 = 666.

3416143248 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 Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 805293 + ... + 809523.

Almost surely, 2^3416143248 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 3416143248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5714723520).

3416143248 is an abundant number, since it is smaller than the sum of its proper divisors (8013303792).

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

3416143248 is a wasteful number, since it uses less digits than its factorization.

3416143248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4347 (or 4332 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 3416143248 is about 58447.7822333748. The cubic root of 3416143248 is about 1506.0706939720.

The spelling of 3416143248 in words is "three billion, four hundred sixteen million, one hundred forty-three thousand, two hundred forty-eight".