34024540000 has 240 divisors, whose sum is σ = 94481568720. Its totient is φ = 11943680000.

The previous prime is 34024539949. The next prime is 34024540013. The reversal of 34024540000 is 4542043.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6377334 + ... + 6382666.

It is an arithmetic number, because the mean of its divisors is an integer number (393673203).

Almost surely, 2^34024540000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34024540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47240784360).

34024540000 is an abundant number, since it is smaller than the sum of its proper divisors (60457028720).

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

34024540000 is a wasteful number, since it uses less digits than its factorization.

34024540000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5403 (or 5380 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The spelling of 34024540000 in words is "thirty-four billion, twenty-four million, five hundred forty thousand".