3412122624 has 176 divisors, whose sum is σ = 10179321600. Its totient is φ = 1129033728.

The previous prime is 3412122607. The next prime is 3412122643. The reversal of 3412122624 is 4262212143.

3412122624 is a `hidden beast` number, since 3 + 4 + 12 + 1 + 22 + 624 = 666.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4616847 + ... + 4617585.

Almost surely, 2^3412122624 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 3412122624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5089660800).

3412122624 is an abundant number, since it is smaller than the sum of its proper divisors (6767198976).

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

3412122624 is a wasteful number, since it uses less digits than its factorization.

3412122624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935 (or 911 counting only the distinct ones).

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

The square root of 3412122624 is about 58413.3770980586. The cubic root of 3412122624 is about 1505.4796062354.

Adding to 3412122624 its reverse (4262212143), we get a palindrome (7674334767).

The spelling of 3412122624 in words is "three billion, four hundred twelve million, one hundred twenty-two thousand, six hundred twenty-four".