3348602880 has 448 divisors, whose sum is σ = 13022519040. Its totient is φ = 717225984.

The previous prime is 3348602833. The next prime is 3348602899. The reversal of 3348602880 is 882068433.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×3348602880² = 22426282495888588800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14622606 + ... + 14622834.

Almost surely, 2^3348602880 is an apocalyptic number.

3348602880 is a gapful number since it is divisible by the number (30) 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 3348602880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6511259520).

3348602880 is an abundant number, since it is smaller than the sum of its proper divisors (9673916160).

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

3348602880 is a wasteful number, since it uses less digits than its factorization.

3348602880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 3348602880 is about 57867.1139767658. The cubic root of 3348602880 is about 1496.0790753859.

The spelling of 3348602880 in words is "three billion, three hundred forty-eight million, six hundred two thousand, eight hundred eighty".