3532162624 has 189 divisors, whose sum is σ = 8214709377. Its totient is φ = 1506244608.

The previous prime is 3532162609. The next prime is 3532162649. The reversal of 3532162624 is 4262612353.

The square root of 3532162624 is 59432.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2749953600 + 782209024 = 52440^2 + 27968^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3532162624.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 153572277 + ... + 153572299.

Almost surely, 2^3532162624 is an apocalyptic number.

3532162624 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

3532162624 is the 59432-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3532162624

3532162624 is an abundant number, since it is smaller than the sum of its proper divisors (4682546753).

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

3532162624 is a wasteful number, since it uses less digits than its factorization.

3532162624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 61 counting only the distinct ones).

The product of its digits is 51840, while the sum is 34.

The cubic root of 3532162624 is about 1522.9310111743.

Adding to 3532162624 its reverse (4262612353), we get a palindrome (7794774977).

The spelling of 3532162624 in words is "three billion, five hundred thirty-two million, one hundred sixty-two thousand, six hundred twenty-four".