3484273936896 has 240 divisors, whose sum is σ = 10977154188000. Its totient is φ = 1100296286208.

The previous prime is 3484273936867. The next prime is 3484273936901. The reversal of 3484273936896 is 6986393724843.

3484273936896 is a `hidden beast` number, since 3 + 484 + 2 + 7 + 39 + 36 + 89 + 6 = 666.

It is a super-2 number, since 2×3484273936896² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1626930 + ... + 3100878.

It is an arithmetic number, because the mean of its divisors is an integer number (45738142450).

Almost surely, 2^{3484273936896} is an apocalyptic number.

3484273936896 is a gapful number since it is divisible by the number (36) 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 3484273936896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5488577094000).

3484273936896 is an abundant number, since it is smaller than the sum of its proper divisors (7492880251104).

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

3484273936896 is an equidigital number, since it uses as much as digits as its factorization.

3484273936896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1474001 (or 1473973 counting only the distinct ones).

The product of its digits is 1128701952, while the sum is 72.

The spelling of 3484273936896 in words is "three trillion, four hundred eighty-four billion, two hundred seventy-three million, nine hundred thirty-six thousand, eight hundred ninety-six".