35836399872 has 432 divisors, whose sum is σ = 129369502080. Its totient is φ = 9287958528.

The previous prime is 35836399831. The next prime is 35836399873. The reversal of 35836399872 is 27899363853.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (35836399873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12368728 + ... + 12371624.

It is an arithmetic number, because the mean of its divisors is an integer number (299466440).

Almost surely, 2^35836399872 is an apocalyptic number.

35836399872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35836399872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64684751040).

35836399872 is an abundant number, since it is smaller than the sum of its proper divisors (93533102208).

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

35836399872 is a wasteful number, since it uses less digits than its factorization.

35836399872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2998 (or 2981 counting only the distinct ones).

The product of its digits is 58786560, while the sum is 63.

The spelling of 35836399872 in words is "thirty-five billion, eight hundred thirty-six million, three hundred ninety-nine thousand, eight hundred seventy-two".