3348753072 has 80 divisors (see below), whose sum is σ = 9907104000. Its totient is φ = 954821376.

The previous prime is 3348752987. The next prime is 3348753101. The reversal of 3348753072 is 2703578433.

It is a super-2 number, since 2×3348753072² = 22428294274458874368, 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157678 + ... + 177650.

It is an arithmetic number, because the mean of its divisors is an integer number (123838800).

Almost surely, 2^3348753072 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 3348753072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4953552000).

3348753072 is an abundant number, since it is smaller than the sum of its proper divisors (6558350928).

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

3348753072 is a wasteful number, since it uses less digits than its factorization.

3348753072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20490 (or 20484 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 42.

The square root of 3348753072 is about 57868.4116941186. The cubic root of 3348753072 is about 1496.1014425001.

The spelling of 3348753072 in words is "three billion, three hundred forty-eight million, seven hundred fifty-three thousand, seventy-two".