35313276672 has 144 divisors (see below), whose sum is σ = 104715182880. Its totient is φ = 11738677248.

The previous prime is 35313276641. The next prime is 35313276689. The reversal of 35313276672 is 27667231353.

35313276672 is a `hidden beast` number, since 3 + 5 + 313 + 276 + 67 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2571328 + ... + 2585024.

It is an arithmetic number, because the mean of its divisors is an integer number (727188770).

Almost surely, 2^35313276672 is an apocalyptic number.

35313276672 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 35313276672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52357591440).

35313276672 is an abundant number, since it is smaller than the sum of its proper divisors (69401906208).

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

35313276672 is a wasteful number, since it uses less digits than its factorization.

35313276672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14095 (or 14075 counting only the distinct ones).

The product of its digits is 952560, while the sum is 45.

The spelling of 35313276672 in words is "thirty-five billion, three hundred thirteen million, two hundred seventy-six thousand, six hundred seventy-two".