34052040000 has 420 divisors, whose sum is σ = 133069279200. Its totient is φ = 8254080000.

The previous prime is 34052039981. The next prime is 34052040007. The reversal of 34052040000 is 4025043.

It is a happy number.

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 (34052040007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3955701 + ... + 3964299.

Almost surely, 2^34052040000 is an apocalyptic number.

34052040000 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 34052040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66534639600).

34052040000 is an abundant number, since it is smaller than the sum of its proper divisors (99017239200).

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

34052040000 is a wasteful number, since it uses less digits than its factorization.

34052040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8648 (or 8620 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

Adding to 34052040000 its reverse (4025043), we get a palindrome (34056065043).

The spelling of 34052040000 in words is "thirty-four billion, fifty-two million, forty thousand", and thus it is an eban number.