3468240288 has 384 divisors, whose sum is σ = 11169446400. Its totient is φ = 1043767296.

The previous prime is 3468240253. The next prime is 3468240299. The reversal of 3468240288 is 8820428643.

3468240288 is a `hidden beast` number, since 346 + 8 + 24 + 0 + 288 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38968948 + ... + 38969036.

It is an arithmetic number, because the mean of its divisors is an integer number (29087100).

Almost surely, 2^3468240288 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 3468240288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5584723200).

3468240288 is an abundant number, since it is smaller than the sum of its proper divisors (7701206112).

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

3468240288 is a wasteful number, since it uses less digits than its factorization.

3468240288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 3468240288 is about 58891.7675740846. The cubic root of 3468240288 is about 1513.6880869030.

The spelling of 3468240288 in words is "three billion, four hundred sixty-eight million, two hundred forty thousand, two hundred eighty-eight".