34804136640 has 448 divisors, whose sum is σ = 137118449664. Its totient is φ = 7283146752.

The previous prime is 34804136629. The next prime is 34804136683. The reversal of 34804136640 is 4663140843.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×34804136640² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11093152 + ... + 11096288.

It is an arithmetic number, because the mean of its divisors is an integer number (306067968).

Almost surely, 2^34804136640 is an apocalyptic number.

34804136640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34804136640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68559224832).

34804136640 is an abundant number, since it is smaller than the sum of its proper divisors (102314313024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34804136640 is a wasteful number, since it uses less digits than its factorization.

34804136640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3304 (or 3294 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The spelling of 34804136640 in words is "thirty-four billion, eight hundred four million, one hundred thirty-six thousand, six hundred forty".