34408642028545 has 64 divisors (see below), whose sum is σ = 44769008577600. Its totient is φ = 25292943360000.

The previous prime is 34408642028531. The next prime is 34408642028591. The reversal of 34408642028545 is 54582024680443.

It is a Cunningham number, because it is equal to 5865888²+1.

It can be written as a sum of positive squares in 32 ways, for example, as 188283095056 + 34220358933489 = 433916^2 + 5849817^2 .

It is not a de Polignac number, because 34408642028545 - 2¹³ = 34408642020353 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4354969095 + ... + 4354976995.

It is an arithmetic number, because the mean of its divisors is an integer number (699515759025).

Almost surely, 2^{34408642028545} is an apocalyptic number.

It is an amenable number.

34408642028545 is a deficient number, since it is larger than the sum of its proper divisors (10360366549055).

34408642028545 is a wasteful number, since it uses less digits than its factorization.

34408642028545 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15046.

The product of its (nonzero) digits is 29491200, while the sum is 55.

The spelling of 34408642028545 in words is "thirty-four trillion, four hundred eight billion, six hundred forty-two million, twenty-eight thousand, five hundred forty-five".