3468738816 has 135 divisors (see below), whose sum is σ = 10368502221. Its totient is φ = 1153419264.

The previous prime is 3468738761. The next prime is 3468738817. The reversal of 3468738816 is 6188378643.

The square root of 3468738816 is 58896.

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

It can be written as a sum of positive squares in only one way, i.e., 3170140416 + 298598400 = 56304^2 + 17280^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3468738817) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 8480820 + ... + 8481228.

Almost surely, 2^3468738816 is an apocalyptic number.

3468738816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3468738816 is the 58896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3468738816

3468738816 is an abundant number, since it is smaller than the sum of its proper divisors (6899763405).

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

3468738816 is an frugal number, since it uses more digits than its factorization.

3468738816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 414 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The cubic root of 3468738816 is about 1513.7606097271.

The spelling of 3468738816 in words is "three billion, four hundred sixty-eight million, seven hundred thirty-eight thousand, eight hundred sixteen".