34007040000 has 750 divisors, whose sum is σ = 130053599214. Its totient is φ = 8847360000.

The previous prime is 34007039947. The next prime is 34007040007. The reversal of 34007040000 is 4070043.

It can be written as a sum of positive squares in 5 ways, for example, as 22774431744 + 11232608256 = 150912^2 + 105984^2 .

It is a tau number, because it is divible by the number of its divisors (750).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34007040007) by changing a digit.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 829439980 + ... + 829440020.

Almost surely, 2^34007040000 is an apocalyptic number.

34007040000 is a gapful number since it is divisible by the number (30) 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 34007040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65026799607).

34007040000 is an abundant number, since it is smaller than the sum of its proper divisors (96046559214).

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

34007040000 is an frugal number, since it uses more digits than its factorization.

34007040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The spelling of 34007040000 in words is "thirty-four billion, seven million, forty thousand".