3424560120 has 192 divisors, whose sum is σ = 11941020000. Its totient is φ = 881653248.

The previous prime is 3424560103. The next prime is 3424560127. The reversal of 3424560120 is 210654243.

3424560120 is a `hidden beast` number, since 34 + 2 + 4 + 5 + 601 + 20 = 666.

It is a super-2 number, since 2×3424560120² = 23455224030988828800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3424560127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 275806 + ... + 287954.

Almost surely, 2^3424560120 is an apocalyptic number.

3424560120 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 3424560120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5970510000).

3424560120 is an abundant number, since it is smaller than the sum of its proper divisors (8516459880).

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

3424560120 is a wasteful number, since it uses less digits than its factorization.

3424560120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12204 (or 12188 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 3424560120 is about 58519.7412844589. The cubic root of 3424560120 is about 1507.3065913601.

The spelling of 3424560120 in words is "three billion, four hundred twenty-four million, five hundred sixty thousand, one hundred twenty".