34812685440 has 768 divisors, whose sum is σ = 136788462720. Its totient is φ = 8408530944.

The previous prime is 34812685409. The next prime is 34812685469. The reversal of 34812685440 is 4458621843.

34812685440 is a `hidden beast` number, since 3 + 4 + 8 + 126 + 85 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 135457792 + ... + 135458048.

Almost surely, 2^34812685440 is an apocalyptic number.

34812685440 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 34812685440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68394231360).

34812685440 is an abundant number, since it is smaller than the sum of its proper divisors (101975777280).

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

34812685440 is a wasteful number, since it uses less digits than its factorization.

34812685440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 34812685440 in words is "thirty-four billion, eight hundred twelve million, six hundred eighty-five thousand, four hundred forty".