3501228456 has 256 divisors, whose sum is σ = 10992844800. Its totient is φ = 1023321600.

The previous prime is 3501228391. The next prime is 3501228457. The reversal of 3501228456 is 6548221053.

3501228456 is a `hidden beast` number, since 3 + 501 + 22 + 84 + 56 = 666.

It is a super-2 number, since 2×3501228456² = 24517201402208287872, which contains 22 as substring.

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 3501228456.

It is not an unprimeable number, because it can be changed into a prime (3501228457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12371691 + ... + 12371973.

It is an arithmetic number, because the mean of its divisors is an integer number (42940800).

Almost surely, 2^3501228456 is an apocalyptic number.

3501228456 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 3501228456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5496422400).

3501228456 is an abundant number, since it is smaller than the sum of its proper divisors (7491616344).

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

3501228456 is a wasteful number, since it uses less digits than its factorization.

3501228456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 3501228456 is about 59171.1792682891. The cubic root of 3501228456 is about 1518.4720992519.

The spelling of 3501228456 in words is "three billion, five hundred one million, two hundred twenty-eight thousand, four hundred fifty-six".