3428604251136 has 264 divisors, whose sum is σ = 10492033503744. Its totient is φ = 1074649497600.

The previous prime is 3428604251129. The next prime is 3428604251147. The reversal of 3428604251136 is 6311524068243.

3428604251136 is a `hidden beast` number, since 3 + 4 + 2 + 8 + 60 + 42 + 511 + 36 = 666.

It is a super-2 number, since 2×3428604251136² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3428604251091 and 3428604251100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180319966 + ... + 180338978.

Almost surely, 2^{3428604251136} is an apocalyptic number.

3428604251136 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 3428604251136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5246016751872).

3428604251136 is an abundant number, since it is smaller than the sum of its proper divisors (7063429252608).

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

3428604251136 is a wasteful number, since it uses less digits than its factorization.

3428604251136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20207 (or 20186 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 3428604251136 in words is "three trillion, four hundred twenty-eight billion, six hundred four million, two hundred fifty-one thousand, one hundred thirty-six".