34555921920 has 480 divisors, whose sum is σ = 133687505952. Its totient is φ = 8504082432.

The previous prime is 34555921919. The next prime is 34555921949. The reversal of 34555921920 is 2912955543.

34555921920 is a `hidden beast` number, since 3 + 4 + 5 + 559 + 2 + 1 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×34555921920² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8084904 + ... + 8089176.

Almost surely, 2^34555921920 is an apocalyptic number.

34555921920 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 34555921920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66843752976).

34555921920 is an abundant number, since it is smaller than the sum of its proper divisors (99131584032).

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

34555921920 is an equidigital number, since it uses as much as digits as its factorization.

34555921920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4324 (or 4296 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 34555921920 in words is "thirty-four billion, five hundred fifty-five million, nine hundred twenty-one thousand, nine hundred twenty".