3489184677888 has 1360 divisors, whose sum is σ = 13300741149696. Its totient is φ = 886717808640.

The previous prime is 3489184677887. The next prime is 3489184677931. The reversal of 3489184677888 is 8887764819843.

3489184677888 is a `hidden beast` number, since 3 + 4 + 8 + 9 + 1 + 8 + 467 + 78 + 88 = 666.

It is a super-2 number, since 2×3489184677888² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3489184677887) 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, 14975041420 + ... + 14975041652.

Almost surely, 2^{3489184677888} 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 3489184677888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6650370574848).

3489184677888 is an abundant number, since it is smaller than the sum of its proper divisors (9811556471808).

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

3489184677888 is an equidigital number, since it uses as much as digits as its factorization.

3489184677888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 289 counting only the distinct ones).

The product of its digits is 4161798144, while the sum is 81.

The spelling of 3489184677888 in words is "three trillion, four hundred eighty-nine billion, one hundred eighty-four million, six hundred seventy-seven thousand, eight hundred eighty-eight".