3446862048 has 432 divisors, whose sum is σ = 12326670720. Its totient is φ = 892394496.

The previous prime is 3446862031. The next prime is 3446862079. The reversal of 3446862048 is 8402686443.

3446862048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3446861994 and 3446862012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32213611 + ... + 32213717.

It is an arithmetic number, because the mean of its divisors is an integer number (28533960).

Almost surely, 2^3446862048 is an apocalyptic number.

3446862048 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3446862048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6163335360).

3446862048 is an abundant number, since it is smaller than the sum of its proper divisors (8879808672).

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

3446862048 is a wasteful number, since it uses less digits than its factorization.

3446862048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The square root of 3446862048 is about 58709.9825242692. The cubic root of 3446862048 is about 1510.5715492018.

The spelling of 3446862048 in words is "three billion, four hundred forty-six million, eight hundred sixty-two thousand, forty-eight".