34012020000 has 480 divisors, whose sum is σ = 130292692992. Its totient is φ = 7604352000.

The previous prime is 34012019981. The next prime is 34012020001. The reversal of 34012020000 is 2021043.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (34012020001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19739139 + ... + 19740861.

Almost surely, 2^34012020000 is an apocalyptic number.

34012020000 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 34012020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65146346496).

34012020000 is an abundant number, since it is smaller than the sum of its proper divisors (96280672992).

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

34012020000 is a wasteful number, since it uses less digits than its factorization.

34012020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1810 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 34012020000 its reverse (2021043), we get a palindrome (34014041043).

The spelling of 34012020000 in words is "thirty-four billion, twelve million, twenty thousand".