3252896408384 has 224 divisors, whose sum is σ = 7909077196800. Its totient is φ = 1295698747392.

The previous prime is 3252896408381. The next prime is 3252896408389. The reversal of 3252896408384 is 4838046982523.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3252896408381) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 287886767 + ... + 287898065.

Almost surely, 2^{3252896408384} is an apocalyptic number.

3252896408384 is a gapful number since it is divisible by the number (34) 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 3252896408384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3954538598400).

3252896408384 is an abundant number, since it is smaller than the sum of its proper divisors (4656180788416).

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

3252896408384 is a wasteful number, since it uses less digits than its factorization.

3252896408384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11805 (or 11795 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 62.

The spelling of 3252896408384 in words is "three trillion, two hundred fifty-two billion, eight hundred ninety-six million, four hundred eight thousand, three hundred eighty-four".