34549009920 has 320 divisors, whose sum is σ = 124010187840. Its totient is φ = 9116319744.

The previous prime is 34549009907. The next prime is 34549009927. The reversal of 34549009920 is 2990094543.

It is a happy number.

34549009920 is a `hidden beast` number, since 3 + 454 + 90 + 0 + 99 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34549009927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6702064 + ... + 6707216.

It is an arithmetic number, because the mean of its divisors is an integer number (387531837).

Almost surely, 2^34549009920 is an apocalyptic number.

34549009920 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 34549009920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62005093920).

34549009920 is an abundant number, since it is smaller than the sum of its proper divisors (89461177920).

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

34549009920 is an equidigital number, since it uses as much as digits as its factorization.

34549009920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5282 (or 5260 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 34549009920 in words is "thirty-four billion, five hundred forty-nine million, nine thousand, nine hundred twenty".