3435322378440 has 128 divisors (see below), whose sum is σ = 10662232176000. Its totient is φ = 884423221248.

The previous prime is 3435322378409. The next prime is 3435322378459. The reversal of 3435322378440 is 448732235343.

It is a happy number.

3435322378440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3435322378440.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50868216 + ... + 50935704.

It is an arithmetic number, because the mean of its divisors is an integer number (83298688875).

Almost surely, 2^{3435322378440} is an apocalyptic number.

3435322378440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3435322378440 is an abundant number, since it is smaller than the sum of its proper divisors (7226909797560).

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

3435322378440 is a wasteful number, since it uses less digits than its factorization.

3435322378440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82159 (or 82155 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 48.

The spelling of 3435322378440 in words is "three trillion, four hundred thirty-five billion, three hundred twenty-two million, three hundred seventy-eight thousand, four hundred forty".