3349976126436 has 135 divisors (see below), whose sum is σ = 9156886202233. Its totient is φ = 1067866731360.

The previous prime is 3349976126377. The next prime is 3349976126443. The reversal of 3349976126436 is 6346216799433.

It is a happy number.

The square root of 3349976126436 is 1830294.

It is a perfect power (a square), and thus also a powerful number.

3349976126436 is a `hidden beast` number, since 3 + 3 + 4 + 9 + 9 + 7 + 612 + 6 + 4 + 3 + 6 = 666.

3349976126436 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2782244016036 + 567732110400 = 1668006^2 + 753480^2 .

It is a super-2 number, since 2×3349976126436² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 757739506 + ... + 757743926.

Almost surely, 2^{3349976126436} is an apocalyptic number.

3349976126436 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3349976126436 is the 1830294-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3349976126436

3349976126436 is an abundant number, since it is smaller than the sum of its proper divisors (5806910075797).

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

3349976126436 is an frugal number, since it uses more digits than its factorization.

3349976126436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8904 (or 4449 counting only the distinct ones).

The product of its digits is 105815808, while the sum is 63.

The spelling of 3349976126436 in words is "three trillion, three hundred forty-nine billion, nine hundred seventy-six million, one hundred twenty-six thousand, four hundred thirty-six".