3214640448 has 168 divisors, whose sum is σ = 9679033728. Its totient is φ = 1018119168.

The previous prime is 3214640329. The next prime is 3214640461. The reversal of 3214640448 is 8440464123.

3214640448 is a `hidden beast` number, since 3 + 2 + 1 + 4 + 640 + 4 + 4 + 8 = 666.

3214640448 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2211690 + ... + 2213142.

It is an arithmetic number, because the mean of its divisors is an integer number (57613296).

Almost surely, 2^3214640448 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 3214640448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4839516864).

3214640448 is an abundant number, since it is smaller than the sum of its proper divisors (6464393280).

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

3214640448 is a wasteful number, since it uses less digits than its factorization.

3214640448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1661 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 3214640448 is about 56697.7993223723. The cubic root of 3214640448 is about 1475.8565088437.

The spelling of 3214640448 in words is "three billion, two hundred fourteen million, six hundred forty thousand, four hundred forty-eight".