34884685440 has 768 divisors, whose sum is σ = 140744822400. Its totient is φ = 7868252160.

The previous prime is 34884685439. The next prime is 34884685447. The reversal of 34884685440 is 4458648843.

It is a happy number.

34884685440 is a `hidden beast` number, since 3 + 4 + 88 + 46 + 85 + 440 = 666.

It is not an unprimeable number, because it can be changed into a prime (34884685447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 149719564 + ... + 149719796.

Almost surely, 2^34884685440 is an apocalyptic number.

34884685440 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 34884685440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70372411200).

34884685440 is an abundant number, since it is smaller than the sum of its proper divisors (105860136960).

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

34884685440 is a wasteful number, since it uses less digits than its factorization.

34884685440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 54.

The spelling of 34884685440 in words is "thirty-four billion, eight hundred eighty-four million, six hundred eighty-five thousand, four hundred forty".