3389148720 has 120 divisors (see below), whose sum is σ = 11417080272. Its totient is φ = 900979200.

The previous prime is 3389148691. The next prime is 3389148767. The reversal of 3389148720 is 278419833.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×3389148720² = 22972658092555276800, 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 231210 + ... + 245430.

Almost surely, 2^3389148720 is an apocalyptic number.

3389148720 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 3389148720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5708540136).

3389148720 is an abundant number, since it is smaller than the sum of its proper divisors (8027931552).

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

3389148720 is a wasteful number, since it uses less digits than its factorization.

3389148720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14571 (or 14562 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 3389148720 is about 58216.3956287230. The cubic root of 3389148720 is about 1502.0931843608.

The spelling of 3389148720 in words is "three billion, three hundred eighty-nine million, one hundred forty-eight thousand, seven hundred twenty".