3424207680 has 168 divisors, whose sum is σ = 11854430952. Its totient is φ = 907186176.

The previous prime is 3424207673. The next prime is 3424207727. The reversal of 3424207680 is 867024243.

It can be written as a sum of positive squares in 4 ways, for example, as 1043548416 + 2380659264 = 32304^2 + 48792^2 .

It is a super-4 number, since 4×3424207680⁴ (a number of 39 digits) contains 4444 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 448374 + ... + 455946.

It is an arithmetic number, because the mean of its divisors is an integer number (70562089).

Almost surely, 2^3424207680 is an apocalyptic number.

3424207680 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 3424207680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5927215476).

3424207680 is an abundant number, since it is smaller than the sum of its proper divisors (8430223272).

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

3424207680 is a wasteful number, since it uses less digits than its factorization.

3424207680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7753 (or 7740 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 3424207680 is about 58516.7299154695. The cubic root of 3424207680 is about 1507.2548812288.

The spelling of 3424207680 in words is "three billion, four hundred twenty-four million, two hundred seven thousand, six hundred eighty".