3467977128 has 576 divisors, whose sum is σ = 12896956800. Its totient is φ = 821145600.

The previous prime is 3467977111. The next prime is 3467977157. The reversal of 3467977128 is 8217797643.

3467977128 is a `hidden beast` number, since 3 + 467 + 97 + 71 + 28 = 666.

It is a super-2 number, since 2×3467977128² = 24053730720662256768, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 47506500 + ... + 47506572.

It is an arithmetic number, because the mean of its divisors is an integer number (22390550).

Almost surely, 2^3467977128 is an apocalyptic number.

3467977128 is a gapful number since it is divisible by the number (38) 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 3467977128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6448478400).

3467977128 is an abundant number, since it is smaller than the sum of its proper divisors (9428979672).

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

3467977128 is a wasteful number, since it uses less digits than its factorization.

3467977128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 156 counting only the distinct ones).

The product of its digits is 3556224, while the sum is 54.

The square root of 3467977128 is about 58889.5332635605. The cubic root of 3467977128 is about 1513.6498011827.

The spelling of 3467977128 in words is "three billion, four hundred sixty-seven million, nine hundred seventy-seven thousand, one hundred twenty-eight".