3325053504000 has 640 divisors, whose sum is σ = 11670964081920. Its totient is φ = 837550080000.

The previous prime is 3325053503957. The next prime is 3325053504007. The reversal of 3325053504000 is 4053505233.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×3325053504000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (3325053504007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1462846864 + ... + 1462849136.

It is an arithmetic number, because the mean of its divisors is an integer number (18235881378).

Almost surely, 2^{3325053504000} is an apocalyptic number.

3325053504000 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 3325053504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5835482040960).

3325053504000 is an abundant number, since it is smaller than the sum of its proper divisors (8345910577920).

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

3325053504000 is a wasteful number, since it uses less digits than its factorization.

3325053504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2729 (or 2703 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 30.

The spelling of 3325053504000 in words is "three trillion, three hundred twenty-five billion, fifty-three million, five hundred four thousand".