3481657344 has 392 divisors, whose sum is σ = 11603489112. Its totient is φ = 1035141120.

The previous prime is 3481657331. The next prime is 3481657363. The reversal of 3481657344 is 4437561843.

3481657344 is a `hidden beast` number, since 3 + 481 + 65 + 73 + 44 = 666.

It is a super-2 number, since 2×3481657344² = 24243875722058268672, which contains 22 as substring.

Its product of digits (967680) is a multiple of the sum of its prime factors (108).

It is a self number, because there is not a number n which added to its sum of digits gives 3481657344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 65691622 + ... + 65691674.

Almost surely, 2^3481657344 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 3481657344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5801744556).

3481657344 is an abundant number, since it is smaller than the sum of its proper divisors (8121831768).

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

3481657344 is an frugal number, since it uses more digits than its factorization.

3481657344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 69 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 3481657344 is about 59005.5704488991. The cubic root of 3481657344 is about 1515.6375005531.

The spelling of 3481657344 in words is "three billion, four hundred eighty-one million, six hundred fifty-seven thousand, three hundred forty-four".