3468845952 has 256 divisors, whose sum is σ = 12029472000. Its totient is φ = 970168320.

The previous prime is 3468845929. The next prime is 3468845981. The reversal of 3468845952 is 2595488643.

3468845952 is a `hidden beast` number, since 3 + 46 + 8 + 8 + 4 + 595 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 490699 + ... + 497717.

It is an arithmetic number, because the mean of its divisors is an integer number (46990125).

Almost surely, 2^3468845952 is an apocalyptic number.

3468845952 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 3468845952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6014736000).

3468845952 is an abundant number, since it is smaller than the sum of its proper divisors (8560626048).

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

3468845952 is a wasteful number, since it uses less digits than its factorization.

3468845952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7066 (or 7048 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The square root of 3468845952 is about 58896.9095284294. The cubic root of 3468845952 is about 1513.7761943143.

It can be divided in two parts, 346884 and 5952, that added together give a square (352836 = 594²).

The spelling of 3468845952 in words is "three billion, four hundred sixty-eight million, eight hundred forty-five thousand, nine hundred fifty-two".