34454000000 has 448 divisors, whose sum is σ = 103273678080. Its totient is φ = 11193600000.

The previous prime is 34453999973. The next prime is 34454000027. The reversal of 34454000000 is 45443.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34453999973) and next prime (34454000027).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 321999947 + ... + 322000053.

Almost surely, 2^34454000000 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 34454000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51636839040).

34454000000 is an abundant number, since it is smaller than the sum of its proper divisors (68819678080).

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

34454000000 is an frugal number, since it uses more digits than its factorization.

34454000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

Adding to 34454000000 its reverse (45443), we get a palindrome (34454045443).

The spelling of 34454000000 in words is "thirty-four billion, four hundred fifty-four million", and thus it is an aban number.