3455682048 has 640 divisors, whose sum is σ = 13089162240. Its totient is φ = 875888640.

The previous prime is 3455682047. The next prime is 3455682073. The reversal of 3455682048 is 8402865543.

3455682048 is a `hidden beast` number, since 3 + 45 + 568 + 2 + 0 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3455681994 and 3455682012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3455682047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51577311 + ... + 51577377.

It is an arithmetic number, because the mean of its divisors is an integer number (20451816).

Almost surely, 2^3455682048 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 3455682048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6544581120).

3455682048 is an abundant number, since it is smaller than the sum of its proper divisors (9633480192).

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

3455682048 is a wasteful number, since it uses less digits than its factorization.

3455682048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The square root of 3455682048 is about 58785.0495279199. The cubic root of 3455682048 is about 1511.8588933573.

The spelling of 3455682048 in words is "three billion, four hundred fifty-five million, six hundred eighty-two thousand, forty-eight".