35904760040 has 64 divisors (see below), whose sum is σ = 83428122960. Its totient is φ = 13896437760.

The previous prime is 35904760013. The next prime is 35904760043. The reversal of 35904760040 is 4006740953.

It can be written as a sum of positive squares in 8 ways, for example, as 12716170756 + 23188589284 = 112766^2 + 152278^2 .

It is a junction number, because it is equal to n+sod(n) for n = 35904759976 and 35904760003.

It is not an unprimeable number, because it can be changed into a prime (35904760043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200864 + ... + 334896.

Almost surely, 2^35904760040 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 35904760040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41714061480).

35904760040 is an abundant number, since it is smaller than the sum of its proper divisors (47523362920).

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

35904760040 is a wasteful number, since it uses less digits than its factorization.

35904760040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134262 (or 134258 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 38.

The spelling of 35904760040 in words is "thirty-five billion, nine hundred four million, seven hundred sixty thousand, forty".