34011040500 has 288 divisors, whose sum is σ = 112432320000. Its totient is φ = 8643398400.

The previous prime is 34011040499. The next prime is 34011040519. The reversal of 34011040500 is 504011043.

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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10307851 + ... + 10311149.

It is an arithmetic number, because the mean of its divisors is an integer number (390390000).

Almost surely, 2^34011040500 is an apocalyptic number.

34011040500 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 34011040500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56216160000).

34011040500 is an abundant number, since it is smaller than the sum of its proper divisors (78421279500).

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

34011040500 is a wasteful number, since it uses less digits than its factorization.

34011040500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3432 (or 3417 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 34011040500 its reverse (504011043), we get a palindrome (34515051543).

The spelling of 34011040500 in words is "thirty-four billion, eleven million, forty thousand, five hundred".