35004876138 has 64 divisors (see below), whose sum is σ = 82179024000. Its totient is φ = 11014175232.

The previous prime is 35004876073. The next prime is 35004876139. The reversal of 35004876138 is 83167840053.

35004876138 is a `hidden beast` number, since 3 + 500 + 4 + 8 + 7 + 6 + 138 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 35004876093 and 35004876102.

It is not an unprimeable number, because it can be changed into a prime (35004876139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 222618 + ... + 345786.

It is an arithmetic number, because the mean of its divisors is an integer number (1284047250).

Almost surely, 2^35004876138 is an apocalyptic number.

35004876138 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 35004876138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41089512000).

35004876138 is an abundant number, since it is smaller than the sum of its proper divisors (47174147862).

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

35004876138 is a wasteful number, since it uses less digits than its factorization.

35004876138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123476 (or 123470 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 35004876138 in words is "thirty-five billion, four million, eight hundred seventy-six thousand, one hundred thirty-eight".