35985350340 has 36 divisors (see below), whose sum is σ = 109155563244. Its totient is φ = 9596093376.

The previous prime is 35985350279. The next prime is 35985350347. The reversal of 35985350340 is 4305358953.

It is a happy number.

35985350340 is a `hidden beast` number, since 3 + 5 + 98 + 53 + 503 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12794324544 + 23191025796 = 113112^2 + 152286^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (35985350347) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99959127 + ... + 99959486.

It is an arithmetic number, because the mean of its divisors is an integer number (3032098979).

Almost surely, 2^35985350340 is an apocalyptic number.

35985350340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

35985350340 is an abundant number, since it is smaller than the sum of its proper divisors (73170212904).

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

35985350340 is a wasteful number, since it uses less digits than its factorization.

35985350340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199918628 (or 199918623 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 35985350340 in words is "thirty-five billion, nine hundred eighty-five million, three hundred fifty thousand, three hundred forty".