34314050040 has 128 divisors (see below), whose sum is σ = 107719372800. Its totient is φ = 8733864960.

The previous prime is 34314050039. The next prime is 34314050053. The reversal of 34314050040 is 4005041343.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208381 + ... + 334739.

It is an arithmetic number, because the mean of its divisors is an integer number (841557600).

Almost surely, 2^34314050040 is an apocalyptic number.

34314050040 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 34314050040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53859686400).

34314050040 is an abundant number, since it is smaller than the sum of its proper divisors (73405322760).

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

34314050040 is a wasteful number, since it uses less digits than its factorization.

34314050040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126477 (or 126473 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 34314050040 its reverse (4005041343), we get a palindrome (38319091383).

The spelling of 34314050040 in words is "thirty-four billion, three hundred fourteen million, fifty thousand, forty".