34854602496 has 288 divisors, whose sum is σ = 112127102976. Its totient is φ = 9400320000.

The previous prime is 34854602437. The next prime is 34854602507. The reversal of 34854602496 is 69420645843.

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, 6830346 + ... + 6835446.

Almost surely, 2^34854602496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34854602496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56063551488).

34854602496 is an abundant number, since it is smaller than the sum of its proper divisors (77272500480).

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

34854602496 is a wasteful number, since it uses less digits than its factorization.

34854602496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5199 (or 5185 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 51.

The spelling of 34854602496 in words is "thirty-four billion, eight hundred fifty-four million, six hundred two thousand, four hundred ninety-six".