3424870080 has 448 divisors, whose sum is σ = 13147852800. Its totient is φ = 836075520.

The previous prime is 3424870079. The next prime is 3424870081. The reversal of 3424870080 is 800784243.

It is an interprime number because it is at equal distance from previous prime (3424870079) and next prime (3424870081).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3424870081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5088624 + ... + 5089296.

Almost surely, 2^3424870080 is an apocalyptic number.

3424870080 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 3424870080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6573926400).

3424870080 is an abundant number, since it is smaller than the sum of its proper divisors (9722982720).

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

3424870080 is a wasteful number, since it uses less digits than its factorization.

3424870080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 3424870080 is about 58522.3895616028. The cubic root of 3424870080 is about 1507.3520658774.

The spelling of 3424870080 in words is "three billion, four hundred twenty-four million, eight hundred seventy thousand, eighty".