3503842272 has 336 divisors, whose sum is σ = 12119184000. Its totient is φ = 975856896.

The previous prime is 3503842271. The next prime is 3503842283. The reversal of 3503842272 is 2722483053.

3503842272 is a `hidden beast` number, since 3 + 5 + 0 + 384 + 2 + 272 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3503842271) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 7021479 + ... + 7021977.

It is an arithmetic number, because the mean of its divisors is an integer number (36069000).

Almost surely, 2^3503842272 is an apocalyptic number.

3503842272 is a gapful number since it is divisible by the number (32) 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 3503842272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6059592000).

3503842272 is an abundant number, since it is smaller than the sum of its proper divisors (8615341728).

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

3503842272 is an equidigital number, since it uses as much as digits as its factorization.

3503842272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 3503842272 is about 59193.2620489866. The cubic root of 3503842272 is about 1518.8498732676.

The spelling of 3503842272 in words is "three billion, five hundred three million, eight hundred forty-two thousand, two hundred seventy-two".