3468863200 has 144 divisors (see below), whose sum is σ = 9435896064. Its totient is φ = 1234419200.

The previous prime is 3468863171. The next prime is 3468863207. The reversal of 3468863200 is 23688643.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3468863207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 409407 + ... + 417793.

It is an arithmetic number, because the mean of its divisors is an integer number (65527056).

Almost surely, 2^3468863200 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 3468863200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4717948032).

3468863200 is an abundant number, since it is smaller than the sum of its proper divisors (5967032864).

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

3468863200 is a wasteful number, since it uses less digits than its factorization.

3468863200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8465 (or 8452 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 40.

The square root of 3468863200 is about 58897.0559535874. The cubic root of 3468863200 is about 1513.7787032725.

It can be divided in two parts, 3468 and 863200, that added together give a palindrome (866668).

The spelling of 3468863200 in words is "three billion, four hundred sixty-eight million, eight hundred sixty-three thousand, two hundred".