34814943720 has 160 divisors (see below), whose sum is σ = 118665803520. Its totient is φ = 9153164160.

The previous prime is 34814943707. The next prime is 34814943767. The reversal of 34814943720 is 2734941843.

34814943720 is a `hidden beast` number, since 34 + 81 + 494 + 37 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 154369 + ... + 305711.

It is an arithmetic number, because the mean of its divisors is an integer number (741661272).

Almost surely, 2^34814943720 is an apocalyptic number.

34814943720 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 34814943720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59332901760).

34814943720 is an abundant number, since it is smaller than the sum of its proper divisors (83850859800).

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

34814943720 is a wasteful number, since it uses less digits than its factorization.

34814943720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151437 (or 151424 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 34814943720 in words is "thirty-four billion, eight hundred fourteen million, nine hundred forty-three thousand, seven hundred twenty".