3468385152 has 384 divisors, whose sum is σ = 11342073600. Its totient is φ = 1011548160.

The previous prime is 3468385139. The next prime is 3468385177. The reversal of 3468385152 is 2515838643.

3468385152 is a `hidden beast` number, since 3 + 468 + 38 + 5 + 152 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×3468385152² = 24059391125228126208, which contains 22 as substring.

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 a junction number, because it is equal to n+sod(n) for n = 3468385098 and 3468385107.

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 47 ways as a sum of consecutive naturals, for example, 17605918 + ... + 17606114.

It is an arithmetic number, because the mean of its divisors is an integer number (29536650).

Almost surely, 2^3468385152 is an apocalyptic number.

3468385152 is a gapful number since it is divisible by the number (32) 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 3468385152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5671036800).

3468385152 is an abundant number, since it is smaller than the sum of its proper divisors (7873688448).

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

3468385152 is a wasteful number, since it uses less digits than its factorization.

3468385152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 279 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 3468385152 is about 58892.9974784779. The cubic root of 3468385152 is about 1513.7091615537.

The spelling of 3468385152 in words is "three billion, four hundred sixty-eight million, three hundred eighty-five thousand, one hundred fifty-two".