34505778985440 has 192 divisors, whose sum is σ = 124294025124864. Its totient is φ = 7882386259968.

The previous prime is 34505778985427. The next prime is 34505778985507. The reversal of 34505778985440 is 4458987750543.

It is a congruent number.

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, 2676117 + ... + 8727723.

It is an arithmetic number, because the mean of its divisors is an integer number (647364714192).

Almost surely, 2^{34505778985440} is an apocalyptic number.

34505778985440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34505778985440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62147012562432).

34505778985440 is an abundant number, since it is smaller than the sum of its proper divisors (89788246139424).

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

34505778985440 is a wasteful number, since it uses less digits than its factorization.

34505778985440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6053329 (or 6053321 counting only the distinct ones).

The product of its (nonzero) digits is 677376000, while the sum is 69.

The spelling of 34505778985440 in words is "thirty-four trillion, five hundred five billion, seven hundred seventy-eight million, nine hundred eighty-five thousand, four hundred forty".