3423501008961 has 16 divisors (see below), whose sum is σ = 4984331226048. Its totient is φ = 2072893515200.

The previous prime is 3423501008903. The next prime is 3423501008971. The reversal of 3423501008961 is 1698001053243.

It is a cyclic number.

It is not a de Polignac number, because 3423501008961 - 2¹⁰ = 3423501007937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3423501008971) 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 15 ways as a sum of consecutive naturals, for example, 48853986 + ... + 48924011.

It is an arithmetic number, because the mean of its divisors is an integer number (311520701628).

Almost surely, 2^{3423501008961} is an apocalyptic number.

It is an amenable number.

3423501008961 is a deficient number, since it is larger than the sum of its proper divisors (1560830217087).

3423501008961 is a wasteful number, since it uses less digits than its factorization.

3423501008961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97779072.

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 3423501008961 in words is "three trillion, four hundred twenty-three billion, five hundred one million, eight thousand, nine hundred sixty-one".