34281044640 has 384 divisors, whose sum is σ = 126256112640. Its totient is φ = 8675942400.

The previous prime is 34281044621. The next prime is 34281044641. The reversal of 34281044640 is 4644018243.

34281044640 is a `hidden beast` number, since 3 + 4 + 2 + 8 + 1 + 0 + 4 + 4 + 640 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 34281044595 and 34281044604.

It is not an unprimeable number, because it can be changed into a prime (34281044641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6550825 + ... + 6556055.

It is an arithmetic number, because the mean of its divisors is an integer number (328791960).

Almost surely, 2^34281044640 is an apocalyptic number.

34281044640 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 34281044640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63128056320).

34281044640 is an abundant number, since it is smaller than the sum of its proper divisors (91975068000).

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

34281044640 is a wasteful number, since it uses less digits than its factorization.

34281044640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5333 (or 5319 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 34281044640 in words is "thirty-four billion, two hundred eighty-one million, forty-four thousand, six hundred forty".