34036002000 has 960 divisors, whose sum is σ = 159694778880. Its totient is φ = 6524928000.

The previous prime is 34036001983. The next prime is 34036002017. The reversal of 34036002000 is 20063043.

34036002000 is a `hidden beast` number, since 3 + 40 + 3 + 600 + 20 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (34036001983) and next prime (34036002017).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18017056 + ... + 18018944.

It is an arithmetic number, because the mean of its divisors is an integer number (166348728).

Almost surely, 2^34036002000 is an apocalyptic number.

34036002000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34036002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79847389440).

34036002000 is an abundant number, since it is smaller than the sum of its proper divisors (125658776880).

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

34036002000 is a wasteful number, since it uses less digits than its factorization.

34036002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1949 (or 1930 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 34036002000 its reverse (20063043), we get a palindrome (34056065043).

The spelling of 34036002000 in words is "thirty-four billion, thirty-six million, two thousand", and thus it is an eban number.