34026220800 has 1728 divisors, whose sum is σ = 157122443520. Its totient is φ = 7166361600.

The previous prime is 34026220799. The next prime is 34026220831. The reversal of 34026220800 is 802262043.

34026220800 is a `hidden beast` number, since 34 + 0 + 2 + 622 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2001542392 + ... + 2001542408.

It is an arithmetic number, because the mean of its divisors is an integer number (90927340).

Almost surely, 2^34026220800 is an apocalyptic number.

34026220800 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 34026220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78561221760).

34026220800 is an abundant number, since it is smaller than the sum of its proper divisors (123096222720).

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

34026220800 is a wasteful number, since it uses less digits than its factorization.

34026220800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 34026220800 its reverse (802262043), we get a palindrome (34828482843).

The spelling of 34026220800 in words is "thirty-four billion, twenty-six million, two hundred twenty thousand, eight hundred".