34010040672 has 192 divisors, whose sum is σ = 100664847360. Its totient is φ = 11169902592.

The previous prime is 34010040671. The next prime is 34010040703. The reversal of 34010040672 is 27604001043.

It is a super-3 number, since 3×34010040672³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34010040671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22040733 + ... + 22042275.

It is an arithmetic number, because the mean of its divisors is an integer number (524296080).

Almost surely, 2^34010040672 is an apocalyptic number.

34010040672 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 34010040672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50332423680).

34010040672 is an abundant number, since it is smaller than the sum of its proper divisors (66654806688).

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

34010040672 is a wasteful number, since it uses less digits than its factorization.

34010040672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1922 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 34010040672 in words is "thirty-four billion, ten million, forty thousand, six hundred seventy-two".