3421395936 has 240 divisors, whose sum is σ = 11558907360. Its totient is φ = 972518400.

The previous prime is 3421395919. The next prime is 3421395947. The reversal of 3421395936 is 6395931243.

3421395936 is a `hidden beast` number, since 3 + 4 + 21 + 39 + 593 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3421395891 and 3421395900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4880386 + ... + 4881086.

It is an arithmetic number, because the mean of its divisors is an integer number (48162114).

Almost surely, 2^3421395936 is an apocalyptic number.

3421395936 is a gapful number since it is divisible by the number (36) 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 3421395936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5779453680).

3421395936 is an abundant number, since it is smaller than the sum of its proper divisors (8137511424).

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

3421395936 is a wasteful number, since it uses less digits than its factorization.

3421395936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 982 counting only the distinct ones).

The product of its digits is 524880, while the sum is 45.

The square root of 3421395936 is about 58492.6998522038. The cubic root of 3421395936 is about 1506.8422139500.

The spelling of 3421395936 in words is "three billion, four hundred twenty-one million, three hundred ninety-five thousand, nine hundred thirty-six".