34075203240 has 256 divisors, whose sum is σ = 118213240320. Its totient is φ = 7782727680.

The previous prime is 34075203221. The next prime is 34075203247. The reversal of 34075203240 is 4230257043.

It is a super-2 number, since 2×34075203240² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 34075203198 and 34075203207.

It is not an unprimeable number, because it can be changed into a prime (34075203247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1873872 + ... + 1891968.

It is an arithmetic number, because the mean of its divisors is an integer number (461770470).

Almost surely, 2^34075203240 is an apocalyptic number.

34075203240 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 34075203240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59106620160).

34075203240 is an abundant number, since it is smaller than the sum of its proper divisors (84138037080).

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

34075203240 is a wasteful number, since it uses less digits than its factorization.

34075203240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18212 (or 18208 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 30.

The spelling of 34075203240 in words is "thirty-four billion, seventy-five million, two hundred three thousand, two hundred forty".