3201973632 has 768 divisors, whose sum is σ = 12155136000. Its totient is φ = 821145600.

The previous prime is 3201973627. The next prime is 3201973633. The reversal of 3201973632 is 2363791023.

3201973632 is a `hidden beast` number, since 3 + 2 + 0 + 19 + 7 + 3 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3201973633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 103289457 + ... + 103289487.

It is an arithmetic number, because the mean of its divisors is an integer number (15827000).

Almost surely, 2^3201973632 is an apocalyptic number.

3201973632 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 3201973632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6077568000).

3201973632 is an abundant number, since it is smaller than the sum of its proper divisors (8953162368).

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

3201973632 is a wasteful number, since it uses less digits than its factorization.

3201973632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 3201973632 is about 56585.9844131036. The cubic root of 3201973632 is about 1473.9154922962.

The spelling of 3201973632 in words is "three billion, two hundred one million, nine hundred seventy-three thousand, six hundred thirty-two".