3405193872921 has 24 divisors (see below), whose sum is σ = 5013736138944. Its totient is φ = 2226646557600.

The previous prime is 3405193872889. The next prime is 3405193872953. The reversal of 3405193872921 is 1292783915043.

3405193872921 is a `hidden beast` number, since 3 + 4 + 0 + 519 + 3 + 87 + 29 + 21 = 666.

It is an interprime number because it is at equal distance from previous prime (3405193872889) and next prime (3405193872953).

It is not a de Polignac number, because 3405193872921 - 2⁵ = 3405193872889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3405193872961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17407821 + ... + 17602346.

It is an arithmetic number, because the mean of its divisors is an integer number (208905672456).

Almost surely, 2^{3405193872921} is an apocalyptic number.

It is an amenable number.

3405193872921 is a deficient number, since it is larger than the sum of its proper divisors (1608542266023).

3405193872921 is a wasteful number, since it uses less digits than its factorization.

3405193872921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35010381 (or 35010378 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 3405193872921 in words is "three trillion, four hundred five billion, one hundred ninety-three million, eight hundred seventy-two thousand, nine hundred twenty-one".