3348472320 has 480 divisors, whose sum is σ = 12547446912. Its totient is φ = 822214656.

The previous prime is 3348472249. The next prime is 3348472321. The reversal of 3348472320 is 232748433.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×3348472320² = 22424533755612364800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3348472321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32509389 + ... + 32509491.

Almost surely, 2^3348472320 is an apocalyptic number.

3348472320 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 3348472320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6273723456).

3348472320 is an abundant number, since it is smaller than the sum of its proper divisors (9198974592).

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

3348472320 is a wasteful number, since it uses less digits than its factorization.

3348472320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 3348472320 is about 57865.9858638907. The cubic root of 3348472320 is about 1496.0596313939.

The spelling of 3348472320 in words is "three billion, three hundred forty-eight million, four hundred seventy-two thousand, three hundred twenty".