34802693253965 has 64 divisors (see below), whose sum is σ = 52211570557440. Its totient is φ = 21682075852800.

The previous prime is 34802693253953. The next prime is 34802693253967. The reversal of 34802693253965 is 56935239620843.

It is not a de Polignac number, because 34802693253965 - 2¹² = 34802693249869 is a prime.

It is a super-2 number, since 2×34802693253965² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (65).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34802693253967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36137201 + ... + 37087769.

It is an arithmetic number, because the mean of its divisors is an integer number (815805789960).

Almost surely, 2^{34802693253965} is an apocalyptic number.

34802693253965 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34802693253965 is a deficient number, since it is larger than the sum of its proper divisors (17408877303475).

34802693253965 is a wasteful number, since it uses less digits than its factorization.

34802693253965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951862.

The product of its (nonzero) digits is 251942400, while the sum is 65.

The spelling of 34802693253965 in words is "thirty-four trillion, eight hundred two billion, six hundred ninety-three million, two hundred fifty-three thousand, nine hundred sixty-five".