34225621920 has 432 divisors, whose sum is σ = 140255152128. Its totient is φ = 7570160640.

The previous prime is 34225621919. The next prime is 34225621939. The reversal of 34225621920 is 2912652243.

34225621920 is a `hidden beast` number, since 3 + 4 + 2 + 2 + 5 + 621 + 9 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2179537 + ... + 2195183.

It is an arithmetic number, because the mean of its divisors is an integer number (324664704).

Almost surely, 2^34225621920 is an apocalyptic number.

34225621920 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 34225621920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70127576064).

34225621920 is an abundant number, since it is smaller than the sum of its proper divisors (106029530208).

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

34225621920 is a wasteful number, since it uses less digits than its factorization.

34225621920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15713 (or 15695 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 34225621920 in words is "thirty-four billion, two hundred twenty-five million, six hundred twenty-one thousand, nine hundred twenty".