3211161408 has 336 divisors, whose sum is σ = 11753006720. Its totient is φ = 846526464.

The previous prime is 3211161397. The next prime is 3211161409. The reversal of 3211161408 is 8041611123.

It is a happy number.

3211161408 is a `hidden beast` number, since 32 + 1 + 11 + 614 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3211161409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1414098 + ... + 1416366.

Almost surely, 2^3211161408 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 3211161408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5876503360).

3211161408 is an abundant number, since it is smaller than the sum of its proper divisors (8541845312).

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

3211161408 is a wasteful number, since it uses less digits than its factorization.

3211161408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2316 (or 2294 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 3211161408 is about 56667.1104610073. The cubic root of 3211161408 is about 1475.3239021320.

The spelling of 3211161408 in words is "three billion, two hundred eleven million, one hundred sixty-one thousand, four hundred eight".