3212161920 has 640 divisors, whose sum is σ = 12902820480. Its totient is φ = 754790400.

The previous prime is 3212161871. The next prime is 3212161921. The reversal of 3212161920 is 291612123.

3212161920 is a `hidden beast` number, since 3 + 2 + 1 + 21 + 619 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 (3212161921) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24520255 + ... + 24520385.

It is an arithmetic number, because the mean of its divisors is an integer number (20160657).

Almost surely, 2^3212161920 is an apocalyptic number.

3212161920 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 3212161920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6451410240).

3212161920 is an abundant number, since it is smaller than the sum of its proper divisors (9690658560).

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

3212161920 is a wasteful number, since it uses less digits than its factorization.

3212161920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 3212161920 is about 56675.9377513950. The cubic root of 3212161920 is about 1475.4771100429.

The spelling of 3212161920 in words is "three billion, two hundred twelve million, one hundred sixty-one thousand, nine hundred twenty".