34075771020 has 144 divisors (see below), whose sum is σ = 106784391168. Its totient is φ = 8786586240.

The previous prime is 34075770991. The next prime is 34075771021. The reversal of 34075771020 is 2017757043.

It is a super-2 number, since 2×34075771020² (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 (34075771021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12313677 + ... + 12316443.

It is an arithmetic number, because the mean of its divisors is an integer number (741558272).

Almost surely, 2^34075771020 is an apocalyptic number.

34075771020 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 34075771020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53392195584).

34075771020 is an abundant number, since it is smaller than the sum of its proper divisors (72708620148).

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

34075771020 is a wasteful number, since it uses less digits than its factorization.

34075771020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5020 (or 5015 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The spelling of 34075771020 in words is "thirty-four billion, seventy-five million, seven hundred seventy-one thousand, twenty".