34225647840 has 144 divisors (see below), whose sum is σ = 116959254048. Its totient is φ = 9114006528.

The previous prime is 34225647811. The next prime is 34225647889. The reversal of 34225647840 is 4874652243.

It is a happy number.

34225647840 is a `hidden beast` number, since 3 + 4 + 2 + 2 + 564 + 7 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1030534 + ... + 1063226.

It is an arithmetic number, because the mean of its divisors is an integer number (812217042).

Almost surely, 2^34225647840 is an apocalyptic number.

34225647840 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 34225647840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58479627024).

34225647840 is an abundant number, since it is smaller than the sum of its proper divisors (82733606208).

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

34225647840 is a wasteful number, since it uses less digits than its factorization.

34225647840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33441 (or 33430 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 34225647840 in words is "thirty-four billion, two hundred twenty-five million, six hundred forty-seven thousand, eight hundred forty".