3382350048 has 504 divisors, whose sum is σ = 12716880120. Its totient is φ = 875266560.

The previous prime is 3382350017. The next prime is 3382350071. The reversal of 3382350048 is 8400532833.

3382350048 is a `hidden beast` number, since 33 + 82 + 3 + 500 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×3382350048² = 22880583694411204608, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3382349994 and 3382350021.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 12573658 + ... + 12573926.

It is an arithmetic number, because the mean of its divisors is an integer number (25231905).

Almost surely, 2^3382350048 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 3382350048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6358440060).

3382350048 is an abundant number, since it is smaller than the sum of its proper divisors (9334530072).

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

3382350048 is a wasteful number, since it uses less digits than its factorization.

3382350048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 3382350048 is about 58157.9749303567. The cubic root of 3382350048 is about 1501.0881064920.

The spelling of 3382350048 in words is "three billion, three hundred eighty-two million, three hundred fifty thousand, forty-eight".