3481239552 has 128 divisors (see below), whose sum is σ = 10611427200. Its totient is φ = 994443264.

The previous prime is 3481239551. The next prime is 3481239563. The reversal of 3481239552 is 2559321843.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3481239551) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 685599 + ... + 690657.

It is an arithmetic number, because the mean of its divisors is an integer number (82901775).

Almost surely, 2^3481239552 is an apocalyptic number.

3481239552 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 3481239552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5305713600).

3481239552 is an abundant number, since it is smaller than the sum of its proper divisors (7130187648).

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

3481239552 is an frugal number, since it uses more digits than its factorization.

3481239552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5099 (or 5071 counting only the distinct ones).

The product of its digits is 259200, while the sum is 42.

The square root of 3481239552 is about 59002.0300667697. The cubic root of 3481239552 is about 1515.5768736265.

The spelling of 3481239552 in words is "three billion, four hundred eighty-one million, two hundred thirty-nine thousand, five hundred fifty-two".