3211971840 has 1152 divisors, whose sum is σ = 15258378240. Its totient is φ = 619315200.

The previous prime is 3211971761. The next prime is 3211971853. The reversal of 3211971840 is 481791123.

It is a happy number.

3211971840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×3211971840³ (a number of 29 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3211971795 and 3211971804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 45239005 + ... + 45239075.

It is an arithmetic number, because the mean of its divisors is an integer number (13245120).

Almost surely, 2^3211971840 is an apocalyptic number.

3211971840 is a gapful number since it is divisible by the number (30) 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 3211971840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7629189120).

3211971840 is an abundant number, since it is smaller than the sum of its proper divisors (12046406400).

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

3211971840 is a wasteful number, since it uses less digits than its factorization.

3211971840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 3211971840 is about 56674.2608244695. The cubic root of 3211971840 is about 1475.4480056340.

The spelling of 3211971840 in words is "three billion, two hundred eleven million, nine hundred seventy-one thousand, eight hundred forty".