3401685941956 has 27 divisors (see below), whose sum is σ = 5980544443629. Its totient is φ = 1692995193648.

The previous prime is 3401685941921. The next prime is 3401685941981. The reversal of 3401685941956 is 6591495861043.

It is a happy number.

The square root of 3401685941956 is 1844366.

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

It can be written as a sum of positive squares in only one way, i.e., 3168165044356 + 233520897600 = 1779934^2 + 483240^2 .

It is a super-4 number, since 4×3401685941956⁴ (a number of 51 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 3401685941894 and 3401685941903.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 844717615 + ... + 844721641.

Almost surely, 2^{3401685941956} is an apocalyptic number.

3401685941956 is the 1844366-th square number.

It is an amenable number.

3401685941956 is a deficient number, since it is larger than the sum of its proper divisors (2578858501673).

3401685941956 is an frugal number, since it uses more digits than its factorization.

3401685941956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8516 (or 4258 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 61.

The spelling of 3401685941956 in words is "three trillion, four hundred one billion, six hundred eighty-five million, nine hundred forty-one thousand, nine hundred fifty-six".