3348936900 has 135 divisors (see below), whose sum is σ = 10872839901. Its totient is φ = 891660960.

The previous prime is 3348936893. The next prime is 3348936923. The reversal of 3348936900 is 96398433.

The square root of 3348936900 is 57870.

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

3348936900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1205617284 + 2143319616 = 34722^2 + 46296^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a super-2 number, since 2×3348936900² = 22430756720363220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5207979 + ... + 5208621.

Almost surely, 2^3348936900 is an apocalyptic number.

3348936900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3348936900 is the 57870-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3348936900

3348936900 is an abundant number, since it is smaller than the sum of its proper divisors (7523903001).

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

3348936900 is an equidigital number, since it uses as much as digits as its factorization.

3348936900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The cubic root of 3348936900 is about 1496.1288178940.

The spelling of 3348936900 in words is "three billion, three hundred forty-eight million, nine hundred thirty-six thousand, nine hundred".