34031040000 has 200 divisors, whose sum is σ = 113292953400. Its totient is φ = 9074688000.

The previous prime is 34031039993. The next prime is 34031040107. The reversal of 34031040000 is 4013043.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×34031040000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 942276 + ... + 977724.

It is an arithmetic number, because the mean of its divisors is an integer number (566464767).

Almost surely, 2^34031040000 is an apocalyptic number.

34031040000 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 34031040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56646476700).

34031040000 is an abundant number, since it is smaller than the sum of its proper divisors (79261913400).

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

34031040000 is an frugal number, since it uses more digits than its factorization.

34031040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35490 (or 35459 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 34031040000 its reverse (4013043), we get a palindrome (34035053043).

The spelling of 34031040000 in words is "thirty-four billion, thirty-one million, forty thousand".