34016303040 has 112 divisors (see below), whose sum is σ = 108051904800. Its totient is φ = 9066803200.

The previous prime is 34016303039. The next prime is 34016303053. The reversal of 34016303040 is 4030361043.

It is a super-2 number, since 2×34016303040² (a number of 22 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 34016303040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2440090 + ... + 2453990.

It is an arithmetic number, because the mean of its divisors is an integer number (964749150).

Almost surely, 2^34016303040 is an apocalyptic number.

34016303040 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 34016303040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54025952400).

34016303040 is an abundant number, since it is smaller than the sum of its proper divisors (74035601760).

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

34016303040 is a wasteful number, since it uses less digits than its factorization.

34016303040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16470 (or 16460 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 34016303040 its reverse (4030361043), we get a palindrome (38046664083).

The spelling of 34016303040 in words is "thirty-four billion, sixteen million, three hundred three thousand, forty".