3402877506721 has 27 divisors (see below), whose sum is σ = 4351204458867. Its totient is φ = 2651482181040.

The previous prime is 3402877506709. The next prime is 3402877506727. The reversal of 3402877506721 is 1276057782043.

The square root of 3402877506721 is 1844689.

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., 2777772222225 + 625105284496 = 1666665^2 + 790636^2 .

It is not a de Polignac number, because 3402877506721 - 2⁷ = 3402877506593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3402877506727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 142029075 + ... + 142053031.

Almost surely, 2^{3402877506721} is an apocalyptic number.

3402877506721 is the 1844689-th square number.

3402877506721 is the 922345-th centered octagonal number.

It is an amenable number.

3402877506721 is a deficient number, since it is larger than the sum of its proper divisors (948326952146).

3402877506721 is an frugal number, since it uses more digits than its factorization.

3402877506721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47950 (or 23975 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 52.

The spelling of 3402877506721 in words is "three trillion, four hundred two billion, eight hundred seventy-seven million, five hundred six thousand, seven hundred twenty-one".