3193986432 has 384 divisors, whose sum is σ = 10751616000. Its totient is φ = 822362112.

The previous prime is 3193986403. The next prime is 3193986443. The reversal of 3193986432 is 2346893913.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35887444 + ... + 35887532.

It is an arithmetic number, because the mean of its divisors is an integer number (27999000).

Almost surely, 2^3193986432 is an apocalyptic number.

3193986432 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 3193986432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5375808000).

3193986432 is an abundant number, since it is smaller than the sum of its proper divisors (7557629568).

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

3193986432 is a wasteful number, since it uses less digits than its factorization.

3193986432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 193 counting only the distinct ones).

The product of its digits is 839808, while the sum is 48.

The square root of 3193986432 is about 56515.3645657533. The cubic root of 3193986432 is about 1472.6889300350.

The spelling of 3193986432 in words is "three billion, one hundred ninety-three million, nine hundred eighty-six thousand, four hundred thirty-two".