34412550000 has 240 divisors, whose sum is σ = 111592857600. Its totient is φ = 9137440000.

The previous prime is 34412549987. The next prime is 34412550031. The reversal of 34412550000 is 5521443.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 57449701 + ... + 57450299.

It is an arithmetic number, because the mean of its divisors is an integer number (464970240).

Almost surely, 2^34412550000 is an apocalyptic number.

34412550000 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 34412550000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55796428800).

34412550000 is an abundant number, since it is smaller than the sum of its proper divisors (77180307600).

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

34412550000 is an equidigital number, since it uses as much as digits as its factorization.

34412550000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The spelling of 34412550000 in words is "thirty-four billion, four hundred twelve million, five hundred fifty thousand".