34034113440 has 144 divisors (see below), whose sum is σ = 120443083488. Its totient is φ = 9075753216.

The previous prime is 34034113433. The next prime is 34034113447. The reversal of 34034113440 is 4431143043.

It is an interprime number because it is at equal distance from previous prime (34034113433) and next prime (34034113447).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (34034113447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 398802 + ... + 476561.

It is an arithmetic number, because the mean of its divisors is an integer number (836410302).

Almost surely, 2^34034113440 is an apocalyptic number.

34034113440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34034113440 is an abundant number, since it is smaller than the sum of its proper divisors (86408970048).

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

34034113440 is an equidigital number, since it uses as much as digits as its factorization.

34034113440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875393 (or 875373 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 34034113440 its reverse (4431143043), we get a palindrome (38465256483).

The spelling of 34034113440 in words is "thirty-four billion, thirty-four million, one hundred thirteen thousand, four hundred forty".