3213775488 has 384 divisors, whose sum is σ = 11030785920. Its totient is φ = 811008000.

The previous prime is 3213775429. The next prime is 3213775507. The reversal of 3213775488 is 8845773123.

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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13335048 + ... + 13335288.

It is an arithmetic number, because the mean of its divisors is an integer number (28726005).

Almost surely, 2^3213775488 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 3213775488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5515392960).

3213775488 is an abundant number, since it is smaller than the sum of its proper divisors (7817010432).

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

3213775488 is a wasteful number, since it uses less digits than its factorization.

3213775488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 305 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 48.

The square root of 3213775488 is about 56690.1709999185. The cubic root of 3213775488 is about 1475.7241279053.

The spelling of 3213775488 in words is "three billion, two hundred thirteen million, seven hundred seventy-five thousand, four hundred eighty-eight".