34354500000 has 336 divisors, whose sum is σ = 115957890720. Its totient is φ = 8899200000.

The previous prime is 34354499957. The next prime is 34354500007. The reversal of 34354500000 is 545343.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (34354500007) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 55499691 + ... + 55500309.

It is an arithmetic number, because the mean of its divisors is an integer number (345112770).

Almost surely, 2^34354500000 is an apocalyptic number.

34354500000 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 34354500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57978945360).

34354500000 is an abundant number, since it is smaller than the sum of its proper divisors (81603390720).

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

34354500000 is an frugal number, since it uses more digits than its factorization.

34354500000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The spelling of 34354500000 in words is "thirty-four billion, three hundred fifty-four million, five hundred thousand".