34011141000 has 64 divisors (see below), whose sum is σ = 106114769280. Its totient is φ = 9069636800.

The previous prime is 34011140987. The next prime is 34011141023. The reversal of 34011141000 is 14111043.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5665524 + ... + 5671523.

It is an arithmetic number, because the mean of its divisors is an integer number (1658043270).

Almost surely, 2^34011141000 is an apocalyptic number.

34011141000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34011141000 is an abundant number, since it is smaller than the sum of its proper divisors (72103628280).

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

34011141000 is a wasteful number, since it uses less digits than its factorization.

34011141000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11337071 (or 11337057 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 34011141000 its reverse (14111043), we get a palindrome (34025252043).

The spelling of 34011141000 in words is "thirty-four billion, eleven million, one hundred forty-one thousand".