3405376953 has 24 divisors (see below), whose sum is σ = 5393044800. Its totient is φ = 2053481760.

The previous prime is 3405376861. The next prime is 3405376957. The reversal of 3405376953 is 3596735043.

3405376953 is a `hidden beast` number, since 3 + 4 + 0 + 537 + 69 + 53 = 666.

It is not a de Polignac number, because 3405376953 - 2¹² = 3405372857 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3405376899 and 3405376908.

It is not an unprimeable number, because it can be changed into a prime (3405376957) 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, 66726 + ... + 106127.

It is an arithmetic number, because the mean of its divisors is an integer number (224710200).

Almost surely, 2^3405376953 is an apocalyptic number.

3405376953 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3405376953 is a deficient number, since it is larger than the sum of its proper divisors (1987667847).

3405376953 is a wasteful number, since it uses less digits than its factorization.

3405376953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173069 (or 173066 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 45.

The square root of 3405376953 is about 58355.6077253935. The cubic root of 3405376953 is about 1504.4868547078.

The spelling of 3405376953 in words is "three billion, four hundred five million, three hundred seventy-six thousand, nine hundred fifty-three".