34404303120 has 320 divisors, whose sum is σ = 120725130240. Its totient is φ = 8028518400.

The previous prime is 34404303119. The next prime is 34404303203. The reversal of 34404303120 is 2130340443.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43715367 + ... + 43716153.

It is an arithmetic number, because the mean of its divisors is an integer number (377266032).

Almost surely, 2^34404303120 is an apocalyptic number.

34404303120 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 34404303120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60362565120).

34404303120 is an abundant number, since it is smaller than the sum of its proper divisors (86320827120).

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

34404303120 is a wasteful number, since it uses less digits than its factorization.

34404303120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 34404303120 its reverse (2130340443), we get a palindrome (36534643563).

The spelling of 34404303120 in words is "thirty-four billion, four hundred four million, three hundred three thousand, one hundred twenty".