3698048256 has 288 divisors, whose sum is σ = 11655705600. Its totient is φ = 1019166720.

The previous prime is 3698048227. The next prime is 3698048257. The reversal of 3698048256 is 6528408963.

3698048256 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 = 3698048199 and 3698048208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3698048257) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28229311 + ... + 28229441.

It is an arithmetic number, because the mean of its divisors is an integer number (40471200).

Almost surely, 2^3698048256 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 3698048256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5827852800).

3698048256 is an abundant number, since it is smaller than the sum of its proper divisors (7957657344).

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

3698048256 is a wasteful number, since it uses less digits than its factorization.

3698048256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The square root of 3698048256 is about 60811.5799498747. The cubic root of 3698048256 is about 1546.4083688094.

The spelling of 3698048256 in words is "three billion, six hundred ninety-eight million, forty-eight thousand, two hundred fifty-six".