3424121640 has 512 divisors, whose sum is σ = 12830400000. Its totient is φ = 808206336.

The previous prime is 3424121629. The next prime is 3424121663. The reversal of 3424121640 is 461214243.

It is a happy number.

3424121640 is a `hidden beast` number, since 3 + 4 + 2 + 4 + 12 + 1 + 640 = 666.

3424121640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 31413906 + ... + 31414014.

It is an arithmetic number, because the mean of its divisors is an integer number (25059375).

Almost surely, 2^3424121640 is an apocalyptic number.

3424121640 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 3424121640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6415200000).

3424121640 is an abundant number, since it is smaller than the sum of its proper divisors (9406278360).

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

3424121640 is a wasteful number, since it uses less digits than its factorization.

3424121640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3424121640 is about 58515.9947364821. The cubic root of 3424121640 is about 1507.2422568683.

Adding to 3424121640 its reverse (461214243), we get a palindrome (3885335883).

The spelling of 3424121640 in words is "three billion, four hundred twenty-four million, one hundred twenty-one thousand, six hundred forty".