35648540928 has 1296 divisors, whose sum is σ = 147047322240. Its totient is φ = 8051097600.

The previous prime is 35648540909. The next prime is 35648540953. The reversal of 35648540928 is 82904584653.

35648540928 is a `hidden beast` number, since 3 + 5 + 6 + 4 + 8 + 540 + 92 + 8 = 666.

It is a super-2 number, since 2×35648540928² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 869476588 + ... + 869476628.

It is an arithmetic number, because the mean of its divisors is an integer number (113462440).

Almost surely, 2^35648540928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35648540928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73523661120).

35648540928 is an abundant number, since it is smaller than the sum of its proper divisors (111398781312).

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

35648540928 is a wasteful number, since it uses less digits than its factorization.

35648540928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 35648540928 in words is "thirty-five billion, six hundred forty-eight million, five hundred forty thousand, nine hundred twenty-eight".