34451030400 has 192 divisors, whose sum is σ = 120148537680. Its totient is φ = 8646492160.

The previous prime is 34451030387. The next prime is 34451030431. The reversal of 34451030400 is 403015443.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57652 + ... + 268748.

Almost surely, 2^34451030400 is an apocalyptic number.

34451030400 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 34451030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60074268840).

34451030400 is an abundant number, since it is smaller than the sum of its proper divisors (85697507280).

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

34451030400 is a wasteful number, since it uses less digits than its factorization.

34451030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211141 (or 211124 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 34451030400 its reverse (403015443), we get a palindrome (34854045843).

The spelling of 34451030400 in words is "thirty-four billion, four hundred fifty-one million, thirty thousand, four hundred".