34365704004 has 96 divisors (see below), whose sum is σ = 92224272000. Its totient is φ = 11053542528.

The previous prime is 34365703993. The next prime is 34365704027. The reversal of 34365704004 is 40040756343.

It is a happy number.

34365704004 is a `hidden beast` number, since 3 + 43 + 6 + 570 + 40 + 0 + 4 = 666.

It is a super-2 number, since 2×34365704004² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 34365704004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9904782 + ... + 9908250.

It is an arithmetic number, because the mean of its divisors is an integer number (960669500).

Almost surely, 2^34365704004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34365704004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46112136000).

34365704004 is an abundant number, since it is smaller than the sum of its proper divisors (57858567996).

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

34365704004 is a wasteful number, since it uses less digits than its factorization.

34365704004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6674 (or 6666 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 34365704004 in words is "thirty-four billion, three hundred sixty-five million, seven hundred four thousand, four".