3482372352 has 144 divisors (see below), whose sum is σ = 9663639552. Its totient is φ = 1112033280.

The previous prime is 3482372347. The next prime is 3482372357. The reversal of 3482372352 is 2532732843.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3482372347) and next prime (3482372357).

It is a self number, because there is not a number n which added to its sum of digits gives 3482372352.

It is not an unprimeable number, because it can be changed into a prime (3482372357) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2546773 + ... + 2548139.

It is an arithmetic number, because the mean of its divisors is an integer number (67108608).

Almost surely, 2^3482372352 is an apocalyptic number.

3482372352 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 3482372352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4831819776).

3482372352 is an abundant number, since it is smaller than the sum of its proper divisors (6181267200).

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

3482372352 is a wasteful number, since it uses less digits than its factorization.

3482372352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1524 (or 1510 counting only the distinct ones).

The product of its digits is 241920, while the sum is 39.

The square root of 3482372352 is about 59011.6289556559. The cubic root of 3482372352 is about 1515.7412460452.

The spelling of 3482372352 in words is "three billion, four hundred eighty-two million, three hundred seventy-two thousand, three hundred fifty-two".