345635634003 has 48 divisors (see below), whose sum is σ = 528827781888. Its totient is φ = 200272811200.

The previous prime is 345635633969. The next prime is 345635634013. The reversal of 345635634003 is 300436536543.

It is a happy number.

It is not a de Polignac number, because 345635634003 - 2¹⁷ = 345635502931 is a prime.

It is a super-3 number, since 3×345635634003³ (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (345635634013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19870276 + ... + 19887662.

It is an arithmetic number, because the mean of its divisors is an integer number (11017245456).

Almost surely, 2^345635634003 is an apocalyptic number.

345635634003 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

345635634003 is a deficient number, since it is larger than the sum of its proper divisors (183192147885).

345635634003 is a wasteful number, since it uses less digits than its factorization.

345635634003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19816 (or 19805 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 42.

The spelling of 345635634003 in words is "three hundred forty-five billion, six hundred thirty-five million, six hundred thirty-four thousand, three".