35640308946 has 128 divisors (see below), whose sum is σ = 82981324800. Its totient is φ = 10091520000.

The previous prime is 35640308939. The next prime is 35640308981. The reversal of 35640308946 is 64980304653.

It is a junction number, because it is equal to n+sod(n) for n = 35640308895 and 35640308904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55600786 + ... + 55601426.

It is an arithmetic number, because the mean of its divisors is an integer number (648291600).

Almost surely, 2^35640308946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35640308946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41490662400).

35640308946 is an abundant number, since it is smaller than the sum of its proper divisors (47341015854).

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

35640308946 is a wasteful number, since it uses less digits than its factorization.

35640308946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216.

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 35640308946 in words is "thirty-five billion, six hundred forty million, three hundred eight thousand, nine hundred forty-six".