3201490952352 has 2304 divisors, whose sum is σ = 13041745920000. Its totient is φ = 760462940160.

The previous prime is 3201490952311. The next prime is 3201490952381. The reversal of 3201490952352 is 2532590941023.

3201490952352 is a `hidden beast` number, since 3 + 2 + 0 + 1 + 490 + 95 + 23 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3201490952298 and 3201490952307.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 25208590113 + ... + 25208590239.

It is an arithmetic number, because the mean of its divisors is an integer number (5660480000).

Almost surely, 2^{3201490952352} is an apocalyptic number.

3201490952352 is a gapful number since it is divisible by the number (32) 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 3201490952352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6520872960000).

3201490952352 is an abundant number, since it is smaller than the sum of its proper divisors (9840254967648).

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

3201490952352 is a wasteful number, since it uses less digits than its factorization.

3201490952352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 3201490952352 in words is "three trillion, two hundred one billion, four hundred ninety million, nine hundred fifty-two thousand, three hundred fifty-two".