34052240040 has 512 divisors, whose sum is σ = 135610675200. Its totient is φ = 6638837760.

The previous prime is 34052240011. The next prime is 34052240051. The reversal of 34052240040 is 4004225043.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8504679 + ... + 8508681.

It is an arithmetic number, because the mean of its divisors is an integer number (264864600).

Almost surely, 2^34052240040 is an apocalyptic number.

34052240040 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 34052240040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67805337600).

34052240040 is an abundant number, since it is smaller than the sum of its proper divisors (101558435160).

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

34052240040 is a wasteful number, since it uses less digits than its factorization.

34052240040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4097 (or 4093 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

Adding to 34052240040 its reverse (4004225043), we get a palindrome (38056465083).

The spelling of 34052240040 in words is "thirty-four billion, fifty-two million, two hundred forty thousand, forty".