34654351641 has 128 divisors (see below), whose sum is σ = 62963712000. Its totient is φ = 16432865280.

The previous prime is 34654351637. The next prime is 34654351661. The reversal of 34654351641 is 14615345643.

It is a happy number.

It is not a de Polignac number, because 34654351641 - 2² = 34654351637 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34654351593 and 34654351602.

It is not an unprimeable number, because it can be changed into a prime (34654351661) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11364285 + ... + 11367333.

It is an arithmetic number, because the mean of its divisors is an integer number (491904000).

Almost surely, 2^34654351641 is an apocalyptic number.

34654351641 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

34654351641 is a deficient number, since it is larger than the sum of its proper divisors (28309360359).

34654351641 is a wasteful number, since it uses less digits than its factorization.

34654351641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3199.

The product of its digits is 518400, while the sum is 42.

The spelling of 34654351641 in words is "thirty-four billion, six hundred fifty-four million, three hundred fifty-one thousand, six hundred forty-one".