3423879360 has 672 divisors, whose sum is σ = 13876641792. Its totient is φ = 766402560.

The previous prime is 3423879331. The next prime is 3423879367. The reversal of 3423879360 is 639783243.

3423879360 = 7863² + 7864² + ... + 7917².

3423879360 is a `hidden beast` number, since 3 + 423 + 87 + 93 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3423879367) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26959617 + ... + 26959743.

Almost surely, 2^3423879360 is an apocalyptic number.

3423879360 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 3423879360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6938320896).

3423879360 is an abundant number, since it is smaller than the sum of its proper divisors (10452762432).

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

3423879360 is a wasteful number, since it uses less digits than its factorization.

3423879360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 3423879360 is about 58513.9244966529. The cubic root of 3423879360 is about 1507.2067068007.

The spelling of 3423879360 in words is "three billion, four hundred twenty-three million, eight hundred seventy-nine thousand, three hundred sixty".