34025020920 has 768 divisors, whose sum is σ = 132746342400. Its totient is φ = 7732454400.

The previous prime is 34025020891. The next prime is 34025020943. The reversal of 34025020920 is 2902052043.

34025020920 is a `hidden beast` number, since 3 + 402 + 50 + 209 + 2 + 0 = 666.

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, 149889847 + ... + 149890073.

It is an arithmetic number, because the mean of its divisors is an integer number (172846800).

Almost surely, 2^34025020920 is an apocalyptic number.

34025020920 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 34025020920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66373171200).

34025020920 is an abundant number, since it is smaller than the sum of its proper divisors (98721321480).

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

34025020920 is a wasteful number, since it uses less digits than its factorization.

34025020920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 34025020920 its reverse (2902052043), we get a palindrome (36927072963).

The spelling of 34025020920 in words is "thirty-four billion, twenty-five million, twenty thousand, nine hundred twenty".