3472254720 has 648 divisors, whose sum is σ = 13740487488. Its totient is φ = 808304640.

The previous prime is 3472254719. The next prime is 3472254757. The reversal of 3472254720 is 274522743.

It is a happy number.

3472254720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 65514214 + ... + 65514266.

It is an arithmetic number, because the mean of its divisors is an integer number (21204456).

Almost surely, 2^3472254720 is an apocalyptic number.

3472254720 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 3472254720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6870243744).

3472254720 is an abundant number, since it is smaller than the sum of its proper divisors (10268232768).

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

3472254720 is a wasteful number, since it uses less digits than its factorization.

3472254720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The square root of 3472254720 is about 58925.8408510222. The cubic root of 3472254720 is about 1514.2718848692.

The spelling of 3472254720 in words is "three billion, four hundred seventy-two million, two hundred fifty-four thousand, seven hundred twenty".