3469873680 has 640 divisors, whose sum is σ = 14932377600. Its totient is φ = 721115136.

The previous prime is 3469873669. The next prime is 3469873697. The reversal of 3469873680 is 863789643.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24963051 + ... + 24963189.

It is an arithmetic number, because the mean of its divisors is an integer number (23331840).

Almost surely, 2^3469873680 is an apocalyptic number.

3469873680 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 3469873680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7466188800).

3469873680 is an abundant number, since it is smaller than the sum of its proper divisors (11462503920).

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

3469873680 is a wasteful number, since it uses less digits than its factorization.

3469873680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The square root of 3469873680 is about 58905.6336864310. The cubic root of 3469873680 is about 1513.9256769361.

The spelling of 3469873680 in words is "three billion, four hundred sixty-nine million, eight hundred seventy-three thousand, six hundred eighty".