34812049536 has 256 divisors, whose sum is σ = 113354640000. Its totient is φ = 10429562880.

The previous prime is 34812049507. The next prime is 34812049537. The reversal of 34812049536 is 63594021843.

34812049536 is a `hidden beast` number, since 3 + 4 + 8 + 120 + 495 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 34812049491 and 34812049500.

It is not an unprimeable number, because it can be changed into a prime (34812049537) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3378280 + ... + 3388568.

Almost surely, 2^34812049536 is an apocalyptic number.

34812049536 is a gapful number since it is divisible by the number (36) 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 34812049536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56677320000).

34812049536 is an abundant number, since it is smaller than the sum of its proper divisors (78542590464).

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

34812049536 is a wasteful number, since it uses less digits than its factorization.

34812049536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10412 (or 10394 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 34812049536 in words is "thirty-four billion, eight hundred twelve million, forty-nine thousand, five hundred thirty-six".