3390817248 has 576 divisors, whose sum is σ = 12717311040. Its totient is φ = 870912000.

The previous prime is 3390817211. The next prime is 3390817249. The reversal of 3390817248 is 8427180933.

3390817248 is a `hidden beast` number, since 3 + 390 + 8 + 17 + 248 = 666.

It is a super-2 number, since 2×3390817248² = 22995283218668587008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3390817249) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33572398 + ... + 33572498.

It is an arithmetic number, because the mean of its divisors is an integer number (22078665).

Almost surely, 2^3390817248 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 3390817248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6358655520).

3390817248 is an abundant number, since it is smaller than the sum of its proper divisors (9326493792).

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

3390817248 is a wasteful number, since it uses less digits than its factorization.

3390817248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 3390817248 is about 58230.7242613382. The cubic root of 3390817248 is about 1502.3396448108.

The spelling of 3390817248 in words is "three billion, three hundred ninety million, eight hundred seventeen thousand, two hundred forty-eight".