34436379376 has 80 divisors (see below), whose sum is σ = 78091858944. Its totient is φ = 14402932992.

The previous prime is 34436379281. The next prime is 34436379377. The reversal of 34436379376 is 67397363443.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34436379377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7621470 + ... + 7625986.

Almost surely, 2^34436379376 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 34436379376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39045929472).

34436379376 is an abundant number, since it is smaller than the sum of its proper divisors (43655479568).

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

34436379376 is a wasteful number, since it uses less digits than its factorization.

34436379376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6158 (or 6152 counting only the distinct ones).

The product of its digits is 20575296, while the sum is 55.

The spelling of 34436379376 in words is "thirty-four billion, four hundred thirty-six million, three hundred seventy-nine thousand, three hundred seventy-six".