3640829434107 has 16 divisors (see below), whose sum is σ = 4918043719680. Its totient is φ = 2395444334400.

The previous prime is 3640829434093. The next prime is 3640829434147. The reversal of 3640829434107 is 7014349280463.

It is a happy number.

It is not a de Polignac number, because 3640829434107 - 2⁶ = 3640829434043 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3640829434107.

It is not an unprimeable number, because it can be changed into a prime (3640829434147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2826819 + ... + 3908012.

It is an arithmetic number, because the mean of its divisors is an integer number (307377732480).

Almost surely, 2^{3640829434107} is an apocalyptic number.

3640829434107 is a deficient number, since it is larger than the sum of its proper divisors (1277214285573).

3640829434107 is a wasteful number, since it uses less digits than its factorization.

3640829434107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6737194.

The product of its (nonzero) digits is 3483648, while the sum is 51.

The spelling of 3640829434107 in words is "three trillion, six hundred forty billion, eight hundred twenty-nine million, four hundred thirty-four thousand, one hundred seven".