3201966738432 has 396 divisors, whose sum is σ = 11732850998856. Its totient is φ = 831678382080.

The previous prime is 3201966738403. The next prime is 3201966738449. The reversal of 3201966738432 is 2348376691023.

3201966738432 is a `hidden beast` number, since 32 + 0 + 1 + 96 + 67 + 38 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (396).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4645128 + ... + 5289720.

Almost surely, 2^{3201966738432} is an apocalyptic number.

3201966738432 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 3201966738432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5866425499428).

3201966738432 is an abundant number, since it is smaller than the sum of its proper divisors (8530884260424).

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

3201966738432 is a wasteful number, since it uses less digits than its factorization.

3201966738432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644644 (or 644616 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 3201966738432 in words is "three trillion, two hundred one billion, nine hundred sixty-six million, seven hundred thirty-eight thousand, four hundred thirty-two".