34050012000 has 96 divisors (see below), whose sum is σ = 111547878624. Its totient is φ = 9080000000.

The previous prime is 34050011999. The next prime is 34050012001. The reversal of 34050012000 is 21005043.

It is an interprime number because it is at equal distance from previous prime (34050011999) and next prime (34050012001).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34050012001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1406751 + ... + 1430750.

It is an arithmetic number, because the mean of its divisors is an integer number (1161957069).

Almost surely, 2^34050012000 is an apocalyptic number.

34050012000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34050012000 is an abundant number, since it is smaller than the sum of its proper divisors (77497866624).

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

34050012000 is a wasteful number, since it uses less digits than its factorization.

34050012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2837529 (or 2837511 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

Adding to 34050012000 its reverse (21005043), we get a palindrome (34071017043).

The spelling of 34050012000 in words is "thirty-four billion, fifty million, twelve thousand".