3420136642350 has 192 divisors, whose sum is σ = 8792783797248. Its totient is φ = 879234048000.

The previous prime is 3420136642327. The next prime is 3420136642369. The reversal of 3420136642350 is 532466310243.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3420136642299 and 3420136642308.

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 95 ways as a sum of consecutive naturals, for example, 175643115 + ... + 175662585.

It is an arithmetic number, because the mean of its divisors is an integer number (45795748944).

Almost surely, 2^{3420136642350} is an apocalyptic number.

3420136642350 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3420136642350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4396391898624).

3420136642350 is an abundant number, since it is smaller than the sum of its proper divisors (5372647154898).

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

3420136642350 is a wasteful number, since it uses less digits than its factorization.

3420136642350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19883 (or 19878 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 39.

The spelling of 3420136642350 in words is "three trillion, four hundred twenty billion, one hundred thirty-six million, six hundred forty-two thousand, three hundred fifty".