34212864000 has 896 divisors, whose sum is σ = 136742740992. Its totient is φ = 7431782400.

The previous prime is 34212863959. The next prime is 34212864001. The reversal of 34212864000 is 46821243.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34212864001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 795647979 + ... + 795648021.

Almost surely, 2^34212864000 is an apocalyptic number.

34212864000 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 34212864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68371370496).

34212864000 is an abundant number, since it is smaller than the sum of its proper divisors (102529876992).

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

34212864000 is an equidigital number, since it uses as much as digits as its factorization.

34212864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 34212864000 in words is "thirty-four billion, two hundred twelve million, eight hundred sixty-four thousand".