34212880800 has 864 divisors, whose sum is σ = 148258760832. Its totient is φ = 7245987840.

The previous prime is 34212880771. The next prime is 34212880843. The reversal of 34212880800 is 808821243.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 62546127 + ... + 62546673.

It is an arithmetic number, because the mean of its divisors is an integer number (171595788).

Almost surely, 2^34212880800 is an apocalyptic number.

34212880800 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 34212880800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74129380416).

34212880800 is an abundant number, since it is smaller than the sum of its proper divisors (114045880032).

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

34212880800 is a wasteful number, since it uses less digits than its factorization.

34212880800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 34212880800 in words is "thirty-four billion, two hundred twelve million, eight hundred eighty thousand, eight hundred".