3410221248 has 336 divisors, whose sum is σ = 11704929600. Its totient is φ = 948326400.

The previous prime is 3410221229. The next prime is 3410221261. The reversal of 3410221248 is 8421220143.

3410221248 is a `hidden beast` number, since 3 + 410 + 2 + 2 + 1 + 248 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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, 8100078 + ... + 8100498.

It is an arithmetic number, because the mean of its divisors is an integer number (34836100).

Almost surely, 2^3410221248 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 3410221248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5852464800).

3410221248 is an abundant number, since it is smaller than the sum of its proper divisors (8294708352).

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

3410221248 is a wasteful number, since it uses less digits than its factorization.

3410221248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 3410221248 is about 58397.0996540068. The cubic root of 3410221248 is about 1505.1999157543.

The spelling of 3410221248 in words is "three billion, four hundred ten million, two hundred twenty-one thousand, two hundred forty-eight".