3452478720 has 144 divisors (see below), whose sum is σ = 11055260160. Its totient is φ = 918249472.

The previous prime is 3452478719. The next prime is 3452478721. The reversal of 3452478720 is 278742543.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3452478719) and next prime (3452478721).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3452478721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1838422 + ... + 1840298.

It is an arithmetic number, because the mean of its divisors is an integer number (76772640).

Almost surely, 2^3452478720 is an apocalyptic number.

3452478720 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 3452478720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5527630080).

3452478720 is an abundant number, since it is smaller than the sum of its proper divisors (7602781440).

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

3452478720 is a wasteful number, since it uses less digits than its factorization.

3452478720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2380 (or 2366 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 42.

The square root of 3452478720 is about 58757.7970996190. The cubic root of 3452478720 is about 1511.3915975559.

The spelling of 3452478720 in words is "three billion, four hundred fifty-two million, four hundred seventy-eight thousand, seven hundred twenty".