34014477312 has 352 divisors, whose sum is σ = 107609971200. Its totient is φ = 10582327296.

The previous prime is 34014477269. The next prime is 34014477313. The reversal of 34014477312 is 21377441043.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34014477313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38347333 + ... + 38348219.

Almost surely, 2^34014477312 is an apocalyptic number.

34014477312 is a gapful number since it is divisible by the number (32) 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 34014477312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53804985600).

34014477312 is an abundant number, since it is smaller than the sum of its proper divisors (73595493888).

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

34014477312 is a wasteful number, since it uses less digits than its factorization.

34014477312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 34014477312 in words is "thirty-four billion, fourteen million, four hundred seventy-seven thousand, three hundred twelve".