34709783040 has 400 divisors, whose sum is σ = 126077441688. Its totient is φ = 9125167104.

The previous prime is 34709783029. The next prime is 34709783149. The reversal of 34709783040 is 4038790743.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 25594880256 + 9114902784 = 159984^2 + 95472^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15136134 + ... + 15138426.

Almost surely, 2^34709783040 is an apocalyptic number.

34709783040 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 34709783040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63038720844).

34709783040 is an abundant number, since it is smaller than the sum of its proper divisors (91367658648).

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

34709783040 is an equidigital number, since it uses as much as digits as its factorization.

34709783040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2401 (or 2376 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 34709783040 in words is "thirty-four billion, seven hundred nine million, seven hundred eighty-three thousand, forty".