34049160000 has 840 divisors, whose sum is σ = 131707640064. Its totient is φ = 8709120000.

The previous prime is 34049159981. The next prime is 34049160029. The reversal of 34049160000 is 6194043.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 301319944 + ... + 301320056.

Almost surely, 2^34049160000 is an apocalyptic number.

34049160000 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 34049160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65853820032).

34049160000 is an abundant number, since it is smaller than the sum of its proper divisors (97658480064).

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

34049160000 is an equidigital number, since it uses as much as digits as its factorization.

34049160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 34049160000 in words is "thirty-four billion, forty-nine million, one hundred sixty thousand".