34021400000 has 336 divisors, whose sum is σ = 101593497600. Its totient is φ = 11041920000.

The previous prime is 34021399961. The next prime is 34021400003. The reversal of 34021400000 is 412043.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34021400003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26599361 + ... + 26600639.

It is an arithmetic number, because the mean of its divisors is an integer number (302361600).

Almost surely, 2^34021400000 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 34021400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50796748800).

34021400000 is an abundant number, since it is smaller than the sum of its proper divisors (67572097600).

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

34021400000 is an equidigital number, since it uses as much as digits as its factorization.

34021400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 34021400000 its reverse (412043), we get a palindrome (34021812043).

The spelling of 34021400000 in words is "thirty-four billion, twenty-one million, four hundred thousand".