3468873936 has 240 divisors, whose sum is σ = 10525040640. Its totient is φ = 976066560.

The previous prime is 3468873899. The next prime is 3468873949. The reversal of 3468873936 is 6393788643.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19379095 + ... + 19379273.

It is an arithmetic number, because the mean of its divisors is an integer number (43854336).

Almost surely, 2^3468873936 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 3468873936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5262520320).

3468873936 is an abundant number, since it is smaller than the sum of its proper divisors (7056166704).

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

3468873936 is a wasteful number, since it uses less digits than its factorization.

3468873936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 339 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 57.

The square root of 3468873936 is about 58897.1470955937. The cubic root of 3468873936 is about 1513.7802649667.

The spelling of 3468873936 in words is "three billion, four hundred sixty-eight million, eight hundred seventy-three thousand, nine hundred thirty-six".