3428061624 has 192 divisors, whose sum is σ = 10726279200. Its totient is φ = 980149248.

The previous prime is 3428061599. The next prime is 3428061647. The reversal of 3428061624 is 4261608243.

3428061624 is a `hidden beast` number, since 3 + 4 + 28 + 0 + 6 + 1 + 624 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 940734 + ... + 944370.

Almost surely, 2^3428061624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3428061624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5363139600).

3428061624 is an abundant number, since it is smaller than the sum of its proper divisors (7298217576).

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

3428061624 is a wasteful number, since it uses less digits than its factorization.

3428061624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3734 (or 3727 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 3428061624 is about 58549.6509297878. The cubic root of 3428061624 is about 1507.8201407491.

Adding to 3428061624 its reverse (4261608243), we get a palindrome (7689669867).

The spelling of 3428061624 in words is "three billion, four hundred twenty-eight million, sixty-one thousand, six hundred twenty-four".