3348662800 has 120 divisors (see below), whose sum is σ = 9443262656. Its totient is φ = 1117048320.

The previous prime is 3348662773. The next prime is 3348662819. The reversal of 3348662800 is 82668433.

It is a super-2 number, since 2×3348662800² = 22427085096207680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 87439 + ... + 119761.

Almost surely, 2^3348662800 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 3348662800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4721631328).

3348662800 is an abundant number, since it is smaller than the sum of its proper divisors (6094599856).

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

3348662800 is a wasteful number, since it uses less digits than its factorization.

3348662800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32385 (or 32374 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 40.

The square root of 3348662800 is about 57867.6317123830. The cubic root of 3348662800 is about 1496.0879989605.

The spelling of 3348662800 in words is "three billion, three hundred forty-eight million, six hundred sixty-two thousand, eight hundred".