35325808484352 has 448 divisors, whose sum is σ = 97097147594496. Its totient is φ = 11418756710400.

The previous prime is 35325808484321. The next prime is 35325808484423. The reversal of 35325808484352 is 25348480852353.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57627745998 + ... + 57627746610.

It is an arithmetic number, because the mean of its divisors is an integer number (216734704452).

Almost surely, 2^{35325808484352} is an apocalyptic number.

35325808484352 is a gapful number since it is divisible by the number (32) 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 35325808484352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48548573797248).

35325808484352 is an abundant number, since it is smaller than the sum of its proper divisors (61771339110144).

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

35325808484352 is a wasteful number, since it uses less digits than its factorization.

35325808484352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 110592000, while the sum is 60.

The spelling of 35325808484352 in words is "thirty-five trillion, three hundred twenty-five billion, eight hundred eight million, four hundred eighty-four thousand, three hundred fifty-two".