34285356000 has 576 divisors, whose sum is σ = 144240445440. Its totient is φ = 7835097600.

The previous prime is 34285355989. The next prime is 34285356013. The reversal of 34285356000 is 65358243.

It is a happy number.

34285356000 is a `hidden beast` number, since 3 + 42 + 8 + 5 + 3 + 5 + 600 + 0 = 666.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6801481 + ... + 6806519.

It is an arithmetic number, because the mean of its divisors is an integer number (250417440).

Almost surely, 2^34285356000 is an apocalyptic number.

34285356000 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 34285356000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72120222720).

34285356000 is an abundant number, since it is smaller than the sum of its proper divisors (109955089440).

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

34285356000 is an equidigital number, since it uses as much as digits as its factorization.

34285356000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5086 (or 5056 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 34285356000 in words is "thirty-four billion, two hundred eighty-five million, three hundred fifty-six thousand".