3213378432 has 256 divisors, whose sum is σ = 10425542400. Its totient is φ = 966297600.

The previous prime is 3213378407. The next prime is 3213378463. The reversal of 3213378432 is 2348733123.

3213378432 is a `hidden beast` number, since 3 + 213 + 3 + 7 + 8 + 432 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6880663 + ... + 6881129.

It is an arithmetic number, because the mean of its divisors is an integer number (40724775).

Almost surely, 2^3213378432 is an apocalyptic number.

3213378432 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 3213378432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5212771200).

3213378432 is an abundant number, since it is smaller than the sum of its proper divisors (7212163968).

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

3213378432 is a wasteful number, since it uses less digits than its factorization.

3213378432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 664 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 3213378432 is about 56686.6689090125. The cubic root of 3213378432 is about 1475.6633510761.

The spelling of 3213378432 in words is "three billion, two hundred thirteen million, three hundred seventy-eight thousand, four hundred thirty-two".