34077022920 has 256 divisors, whose sum is σ = 122247532800. Its totient is φ = 8412180480.

The previous prime is 34077022901. The next prime is 34077022921. The reversal of 34077022920 is 2922077043.

34077022920 is a `hidden beast` number, since 3 + 407 + 7 + 0 + 229 + 20 = 666.

It is a super-2 number, since 2×34077022920² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (34077022921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1104747 + ... + 1135173.

It is an arithmetic number, because the mean of its divisors is an integer number (477529425).

Almost surely, 2^34077022920 is an apocalyptic number.

34077022920 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 34077022920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61123766400).

34077022920 is an abundant number, since it is smaller than the sum of its proper divisors (88170509880).

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

34077022920 is a wasteful number, since it uses less digits than its factorization.

34077022920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30525 (or 30515 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

Adding to 34077022920 its reverse (2922077043), we get a palindrome (36999099963).

The spelling of 34077022920 in words is "thirty-four billion, seventy-seven million, twenty-two thousand, nine hundred twenty".