3325142016 has 528 divisors, whose sum is σ = 12017101824. Its totient is φ = 897785856.

The previous prime is 3325141999. The next prime is 3325142017. The reversal of 3325142016 is 6102415233.

It is a super-2 number, since 2×3325142016² = 22113138853137088512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3325142017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40061911 + ... + 40061993.

Almost surely, 2^3325142016 is an apocalyptic number.

3325142016 is a gapful number since it is divisible by the number (36) 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 3325142016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6008550912).

3325142016 is an abundant number, since it is smaller than the sum of its proper divisors (8691959808).

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

3325142016 is an equidigital number, since it uses as much as digits as its factorization.

3325142016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3325142016 is about 57664.0443950994. The cubic root of 3325142016 is about 1492.5769582296.

Adding to 3325142016 its reverse (6102415233), we get a palindrome (9427557249).

The spelling of 3325142016 in words is "three billion, three hundred twenty-five million, one hundred forty-two thousand, sixteen".