38435411584428 has 96 divisors (see below), whose sum is σ = 90321176736000. Its totient is φ = 12720915357696.

The previous prime is 38435411584421. The next prime is 38435411584463. The reversal of 38435411584428 is 82448511453483.

It is not an unprimeable number, because it can be changed into a prime (38435411584421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3105383776 + ... + 3105396152.

It is an arithmetic number, because the mean of its divisors is an integer number (940845591000).

Almost surely, 2^{38435411584428} is an apocalyptic number.

It is an amenable number.

38435411584428 is an abundant number, since it is smaller than the sum of its proper divisors (51885765151572).

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

38435411584428 is a wasteful number, since it uses less digits than its factorization.

38435411584428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15599 (or 15597 counting only the distinct ones).

The product of its digits is 58982400, while the sum is 60.

The spelling of 38435411584428 in words is "thirty-eight trillion, four hundred thirty-five billion, four hundred eleven million, five hundred eighty-four thousand, four hundred twenty-eight".