3412129644 has 192 divisors, whose sum is σ = 11186380800. Its totient is φ = 873633600.

The previous prime is 3412129639. The next prime is 3412129661. The reversal of 3412129644 is 4469212143.

3412129644 is a `hidden beast` number, since 3 + 4 + 1 + 2 + 1 + 2 + 9 + 644 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3412129599 and 3412129608.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 587547 + ... + 593325.

It is an arithmetic number, because the mean of its divisors is an integer number (58262400).

Almost surely, 2^3412129644 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 3412129644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5593190400).

3412129644 is an abundant number, since it is smaller than the sum of its proper divisors (7774251156).

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

3412129644 is a wasteful number, since it uses less digits than its factorization.

3412129644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5881 (or 5873 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 3412129644 is about 58413.4371870035. The cubic root of 3412129644 is about 1505.4806386777.

The spelling of 3412129644 in words is "three billion, four hundred twelve million, one hundred twenty-nine thousand, six hundred forty-four".