3456239201436 has 192 divisors, whose sum is σ = 9361249615872. Its totient is φ = 972139615488.

The previous prime is 3456239201407. The next prime is 3456239201449. The reversal of 3456239201436 is 6341029326543.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1012667266 + ... + 1012670678.

It is an arithmetic number, because the mean of its divisors is an integer number (48756508416).

Almost surely, 2^{3456239201436} 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 3456239201436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4680624807936).

3456239201436 is an abundant number, since it is smaller than the sum of its proper divisors (5905010414436).

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

3456239201436 is a wasteful number, since it uses less digits than its factorization.

3456239201436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4208 (or 4206 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 48.

The spelling of 3456239201436 in words is "three trillion, four hundred fifty-six billion, two hundred thirty-nine million, two hundred one thousand, four hundred thirty-six".