34045005240 has 256 divisors, whose sum is σ = 116028288000. Its totient is φ = 8876874240.

The previous prime is 34045005223. The next prime is 34045005251. The reversal of 34045005240 is 4250054043.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11791077 + ... + 11793963.

It is an arithmetic number, because the mean of its divisors is an integer number (453235500).

Almost surely, 2^34045005240 is an apocalyptic number.

34045005240 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 34045005240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58014144000).

34045005240 is an abundant number, since it is smaller than the sum of its proper divisors (81983282760).

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

34045005240 is a wasteful number, since it uses less digits than its factorization.

34045005240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3147 (or 3137 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

Adding to 34045005240 its reverse (4250054043), we get a palindrome (38295059283).

It can be divided in two parts, 3404 and 5005240, that added together give a square (5008644 = 2238²).

The spelling of 34045005240 in words is "thirty-four billion, forty-five million, five thousand, two hundred forty".