3211674648 has 384 divisors, whose sum is σ = 10625126400. Its totient is φ = 790732800.

The previous prime is 3211674581. The next prime is 3211674721. The reversal of 3211674648 is 8464761123.

3211674648 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 hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36086188 + ... + 36086276.

It is an arithmetic number, because the mean of its divisors is an integer number (27669600).

Almost surely, 2^3211674648 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 3211674648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5312563200).

3211674648 is an abundant number, since it is smaller than the sum of its proper divisors (7413451752).

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

3211674648 is a wasteful number, since it uses less digits than its factorization.

3211674648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 186 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 3211674648 is about 56671.6388328412. The cubic root of 3211674648 is about 1475.4024982956.

The spelling of 3211674648 in words is "three billion, two hundred eleven million, six hundred seventy-four thousand, six hundred forty-eight".