3403148256 has 240 divisors, whose sum is σ = 10593652608. Its totient is φ = 1069977600.

The previous prime is 3403148251. The next prime is 3403148263. The reversal of 3403148256 is 6528413043.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3403148256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3403148251) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 3293916 + ... + 3294948.

Almost surely, 2^3403148256 is an apocalyptic number.

3403148256 is a gapful number since it is divisible by the number (36) 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 3403148256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5296826304).

3403148256 is an abundant number, since it is smaller than the sum of its proper divisors (7190504352).

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

3403148256 is a wasteful number, since it uses less digits than its factorization.

3403148256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127 (or 1110 counting only the distinct ones).

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

The square root of 3403148256 is about 58336.5087745230. The cubic root of 3403148256 is about 1504.1585721971.

The spelling of 3403148256 in words is "three billion, four hundred three million, one hundred forty-eight thousand, two hundred fifty-six".