34451325000 has 576 divisors, whose sum is σ = 124377664320. Its totient is φ = 8929440000.

The previous prime is 34451324983. The next prime is 34451325023. The reversal of 34451325000 is 52315443.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 321974947 + ... + 321975053.

It is an arithmetic number, because the mean of its divisors is an integer number (215933445).

Almost surely, 2^34451325000 is an apocalyptic number.

34451325000 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 34451325000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62188832160).

34451325000 is an abundant number, since it is smaller than the sum of its proper divisors (89926339320).

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

34451325000 is an equidigital number, since it uses as much as digits as its factorization.

34451325000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The spelling of 34451325000 in words is "thirty-four billion, four hundred fifty-one million, three hundred twenty-five thousand".