3485183328 has 576 divisors, whose sum is σ = 12379469760. Its totient is φ = 948879360.

The previous prime is 3485183267. The next prime is 3485183341. The reversal of 3485183328 is 8233815843.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65758150 + ... + 65758202.

It is an arithmetic number, because the mean of its divisors is an integer number (21492135).

Almost surely, 2^3485183328 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 3485183328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6189734880).

3485183328 is an abundant number, since it is smaller than the sum of its proper divisors (8894286432).

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

3485183328 is a wasteful number, since it uses less digits than its factorization.

3485183328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 123 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 3485183328 is about 59035.4412874165. The cubic root of 3485183328 is about 1516.1489725345.

The spelling of 3485183328 in words is "three billion, four hundred eighty-five million, one hundred eighty-three thousand, three hundred twenty-eight".