34001003000 has 256 divisors, whose sum is σ = 87007789440. Its totient is φ = 12386304000.

The previous prime is 34001002969. The next prime is 34001003009. The reversal of 34001003000 is 30010043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34001003009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 141082880 + ... + 141083120.

Almost surely, 2^34001003000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34001003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43503894720).

34001003000 is an abundant number, since it is smaller than the sum of its proper divisors (53006786440).

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

34001003000 is a wasteful number, since it uses less digits than its factorization.

34001003000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

Adding to 34001003000 its reverse (30010043), we get a palindrome (34031013043).

The spelling of 34001003000 in words is "thirty-four billion, one million, three thousand".