3438888371776 has 189 divisors, whose sum is σ = 8127191283939. Its totient is φ = 1442000102400.

The previous prime is 3438888371753. The next prime is 3438888371837. The reversal of 3438888371776 is 6771738888343.

The square root of 3438888371776 is 1854424.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 39378433600 + 3399509938176 = 198440^2 + 1843776^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3438888371699 and 3438888371708.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2121460246 + ... + 2121461866.

Almost surely, 2^{3438888371776} is an apocalyptic number.

3438888371776 is the 1854424-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3438888371776

3438888371776 is an abundant number, since it is smaller than the sum of its proper divisors (4688302912163).

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

3438888371776 is an equidigital number, since it uses as much as digits as its factorization.

3438888371776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3302 (or 1647 counting only the distinct ones).

The product of its digits is 910393344, while the sum is 73.

The spelling of 3438888371776 in words is "three trillion, four hundred thirty-eight billion, eight hundred eighty-eight million, three hundred seventy-one thousand, seven hundred seventy-six".