3421116972 has 480 divisors, whose sum is σ = 12021166080. Its totient is φ = 823011840.

The previous prime is 3421116971. The next prime is 3421116989. The reversal of 3421116972 is 2796111243.

3421116972 is a `hidden beast` number, since 3 + 421 + 1 + 169 + 72 = 666.

3421116972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3421116972² = 23408082672212897568, which contains 22 as substring.

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

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

It is not an unprimeable number, because it can be changed into a prime (3421116971) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 17365978 + ... + 17366174.

It is an arithmetic number, because the mean of its divisors is an integer number (25044096).

Almost surely, 2^3421116972 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 3421116972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6010583040).

3421116972 is an abundant number, since it is smaller than the sum of its proper divisors (8600049108).

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

3421116972 is a wasteful number, since it uses less digits than its factorization.

3421116972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 272 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 3421116972 is about 58490.3151983301. The cubic root of 3421116972 is about 1506.8012593062.

The spelling of 3421116972 in words is "three billion, four hundred twenty-one million, one hundred sixteen thousand, nine hundred seventy-two".