35404400768 has 32 divisors (see below), whose sum is σ = 76944226320. Its totient is φ = 16092908800.

The previous prime is 35404400749. The next prime is 35404400777. The reversal of 35404400768 is 86700440453.

It is a tau number, because it is divible by the number of its divisors (32).

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 3 ways as a sum of consecutive naturals, for example, 12571178 + ... + 12573993.

Almost surely, 2^35404400768 is an apocalyptic number.

It is an amenable number.

35404400768 is an abundant number, since it is smaller than the sum of its proper divisors (41539825552).

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

35404400768 is a wasteful number, since it uses less digits than its factorization.

35404400768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25145196 (or 25145184 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 41.

The spelling of 35404400768 in words is "thirty-five billion, four hundred four million, four hundred thousand, seven hundred sixty-eight".