34451723520 has 576 divisors, whose sum is σ = 128079329280. Its totient is φ = 8868372480.

The previous prime is 34451723477. The next prime is 34451723557. The reversal of 34451723520 is 2532715443.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86779962 + ... + 86780358.

Almost surely, 2^34451723520 is an apocalyptic number.

34451723520 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 34451723520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64039664640).

34451723520 is an abundant number, since it is smaller than the sum of its proper divisors (93627605760).

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

34451723520 is an frugal number, since it uses more digits than its factorization.

34451723520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 34451723520 in words is "thirty-four billion, four hundred fifty-one million, seven hundred twenty-three thousand, five hundred twenty".