34201120240 has 160 divisors (see below), whose sum is σ = 95886720000. Its totient is φ = 11082645504.

The previous prime is 34201120231. The next prime is 34201120307. The reversal of 34201120240 is 4202110243.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4773781 + ... + 4780939.

It is an arithmetic number, because the mean of its divisors is an integer number (599292000).

Almost surely, 2^34201120240 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 34201120240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47943360000).

34201120240 is an abundant number, since it is smaller than the sum of its proper divisors (61685599760).

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

34201120240 is a wasteful number, since it uses less digits than its factorization.

34201120240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7647 (or 7641 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 34201120240 its reverse (4202110243), we get a palindrome (38403230483).

The spelling of 34201120240 in words is "thirty-four billion, two hundred one million, one hundred twenty thousand, two hundred forty".