3325842000 has 480 divisors, whose sum is σ = 12769245216. Its totient is φ = 801792000.

The previous prime is 3325841993. The next prime is 3325842001. The reversal of 3325842000 is 2485233.

It can be written as a sum of positive squares in 16 ways, for example, as 3302571024 + 23270976 = 57468^2 + 4824^2 .

It is a super-2 number, since 2×3325842000² = 22122450017928000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3325842001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14273884 + ... + 14274116.

Almost surely, 2^3325842000 is an apocalyptic number.

3325842000 is a gapful number since it is divisible by the number (30) 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 3325842000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6384622608).

3325842000 is an abundant number, since it is smaller than the sum of its proper divisors (9443403216).

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

3325842000 is a wasteful number, since it uses less digits than its factorization.

3325842000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 3325842000 is about 57670.1135771380. The cubic root of 3325842000 is about 1492.6816862563.

The spelling of 3325842000 in words is "three billion, three hundred twenty-five million, eight hundred forty-two thousand".