34073376672 has 48 divisors (see below), whose sum is σ = 90125415072. Its totient is φ = 11271087360.

The previous prime is 34073376671. The next prime is 34073376679. The reversal of 34073376672 is 27667337043.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (34073376671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1342123 + ... + 1367274.

It is an arithmetic number, because the mean of its divisors is an integer number (1877612814).

Almost surely, 2^34073376672 is an apocalyptic number.

34073376672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34073376672 is an abundant number, since it is smaller than the sum of its proper divisors (56052038400).

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

34073376672 is a wasteful number, since it uses less digits than its factorization.

34073376672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2709541 (or 2709533 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 48.

The spelling of 34073376672 in words is "thirty-four billion, seventy-three million, three hundred seventy-six thousand, six hundred seventy-two".