35721728352 has 240 divisors, whose sum is σ = 109916829792. Its totient is φ = 11359180800.

The previous prime is 35721728351. The next prime is 35721728381. The reversal of 35721728352 is 25382712753.

35721728352 is a `hidden beast` number, since 3 + 572 + 1 + 7 + 28 + 3 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 35721728298 and 35721728307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35721728351) 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 39 ways as a sum of consecutive naturals, for example, 35828718 + ... + 35829714.

Almost surely, 2^35721728352 is an apocalyptic number.

35721728352 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 35721728352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54958414896).

35721728352 is an abundant number, since it is smaller than the sum of its proper divisors (74195101440).

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

35721728352 is a wasteful number, since it uses less digits than its factorization.

35721728352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643 (or 1626 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The spelling of 35721728352 in words is "thirty-five billion, seven hundred twenty-one million, seven hundred twenty-eight thousand, three hundred fifty-two".