34040511136 has 48 divisors (see below), whose sum is σ = 71277905664. Its totient is φ = 15947172864.

The previous prime is 34040511079. The next prime is 34040511143. The reversal of 34040511136 is 63111504043.

It is a super-3 number, since 3×34040511136³ (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18990 + ... + 261613.

It is an arithmetic number, because the mean of its divisors is an integer number (1484956368).

Almost surely, 2^34040511136 is an apocalyptic number.

It is an amenable number.

34040511136 is an abundant number, since it is smaller than the sum of its proper divisors (37237394528).

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

34040511136 is a wasteful number, since it uses less digits than its factorization.

34040511136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280853 (or 280845 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

It can be divided in two parts, 340405 and 11136, that added together give a triangular number (351541 = T₈₃₈).

The spelling of 34040511136 in words is "thirty-four billion, forty million, five hundred eleven thousand, one hundred thirty-six".