3452368320 has 168 divisors, whose sum is σ = 12258080640. Its totient is φ = 890910720.

The previous prime is 3452368319. The next prime is 3452368369. The reversal of 3452368320 is 238632543.

It is a happy number.

3452368320 is a `hidden beast` number, since 34 + 523 + 6 + 83 + 20 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69946 + ... + 108614.

Almost surely, 2^3452368320 is an apocalyptic number.

3452368320 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 3452368320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6129040320).

3452368320 is an abundant number, since it is smaller than the sum of its proper divisors (8805712320).

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

3452368320 is a wasteful number, since it uses less digits than its factorization.

3452368320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38723 (or 38710 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 3452368320 is about 58756.8576423212. The cubic root of 3452368320 is about 1511.3754874483.

The spelling of 3452368320 in words is "three billion, four hundred fifty-two million, three hundred sixty-eight thousand, three hundred twenty".