34228656000 has 1600 divisors, whose sum is σ = 161787328560. Its totient is φ = 7112448000.

The previous prime is 34228655963. The next prime is 34228656017. The reversal of 34228656000 is 65682243.

34228656000 is a `hidden beast` number, since 3 + 42 + 2 + 8 + 6 + 5 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1600).

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 199 ways as a sum of consecutive naturals, for example, 3111695995 + ... + 3111696005.

Almost surely, 2^34228656000 is an apocalyptic number.

34228656000 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 34228656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80893664280).

34228656000 is an abundant number, since it is smaller than the sum of its proper divisors (127558672560).

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

34228656000 is an frugal number, since it uses more digits than its factorization.

34228656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 34228656000 in words is "thirty-four billion, two hundred twenty-eight million, six hundred fifty-six thousand".