3211418880 has 288 divisors, whose sum is σ = 11666497920. Its totient is φ = 836075520.

The previous prime is 3211418879. The next prime is 3211418957. The reversal of 3211418880 is 888141123.

3211418880 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 tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3211418880² = 20626422445640908800, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 1485000 + ... + 1487160.

Almost surely, 2^3211418880 is an apocalyptic number.

3211418880 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 3211418880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5833248960).

3211418880 is an abundant number, since it is smaller than the sum of its proper divisors (8455079040).

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

3211418880 is a wasteful number, since it uses less digits than its factorization.

3211418880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2234 (or 2214 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 3211418880 is about 56669.3822094436. The cubic root of 3211418880 is about 1475.3633317335.

The spelling of 3211418880 in words is "three billion, two hundred eleven million, four hundred eighteen thousand, eight hundred eighty".