34083961120 has 48 divisors (see below), whose sum is σ = 87843667968. Its totient is φ = 12394167040.

The previous prime is 34083961111. The next prime is 34083961123. The reversal of 34083961120 is 2116938043.

It is a super-3 number, since 3×34083961120³ (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34083961120.

It is not an unprimeable number, because it can be changed into a prime (34083961123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9681184 + ... + 9684703.

It is an arithmetic number, because the mean of its divisors is an integer number (1830076416).

Almost surely, 2^34083961120 is an apocalyptic number.

It is an amenable number.

34083961120 is an abundant number, since it is smaller than the sum of its proper divisors (53759706848).

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

34083961120 is a wasteful number, since it uses less digits than its factorization.

34083961120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19365913 (or 19365905 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The spelling of 34083961120 in words is "thirty-four billion, eighty-three million, nine hundred sixty-one thousand, one hundred twenty".