3292768416 has 192 divisors, whose sum is σ = 10252763136. Its totient is φ = 905472000.

The previous prime is 3292768393. The next prime is 3292768477. The reversal of 3292768416 is 6148672923.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5478516 + ... + 5479116.

It is an arithmetic number, because the mean of its divisors is an integer number (53399808).

Almost surely, 2^3292768416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3292768416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5126381568).

3292768416 is an abundant number, since it is smaller than the sum of its proper divisors (6959994720).

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

3292768416 is a wasteful number, since it uses less digits than its factorization.

3292768416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 907 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The square root of 3292768416 is about 57382.6490848932. The cubic root of 3292768416 is about 1487.7172401783.

The spelling of 3292768416 in words is "three billion, two hundred ninety-two million, seven hundred sixty-eight thousand, four hundred sixteen".