35721084672 has 1152 divisors, whose sum is σ = 141935360000. Its totient is φ = 8778792960.

The previous prime is 35721084649. The next prime is 35721084673. The reversal of 35721084672 is 27648012753.

35721084672 is a `hidden beast` number, since 3 + 572 + 1 + 0 + 8 + 4 + 6 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35721084673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 585591522 + ... + 585591582.

Almost surely, 2^35721084672 is an apocalyptic number.

35721084672 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 35721084672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70967680000).

35721084672 is an abundant number, since it is smaller than the sum of its proper divisors (106214275328).

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

35721084672 is a wasteful number, since it uses less digits than its factorization.

35721084672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 35721084672 in words is "thirty-five billion, seven hundred twenty-one million, eighty-four thousand, six hundred seventy-two".