35706007040 has 160 divisors (see below), whose sum is σ = 94980885120. Its totient is φ = 12763340800.

The previous prime is 35706007039. The next prime is 35706007081. The reversal of 35706007040 is 4070060753.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 35706006988 and 35706007006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1650695 + ... + 1672185.

It is an arithmetic number, because the mean of its divisors is an integer number (593630532).

Almost surely, 2^35706007040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35706007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47490442560).

35706007040 is an abundant number, since it is smaller than the sum of its proper divisors (59274878080).

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

35706007040 is a wasteful number, since it uses less digits than its factorization.

35706007040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21584 (or 21568 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 32.

Adding to 35706007040 its reverse (4070060753), we get a palindrome (39776067793).

The spelling of 35706007040 in words is "thirty-five billion, seven hundred six million, seven thousand, forty".