35070382080 has 572 divisors, whose sum is σ = 130590259740. Its totient is φ = 9029615616.

The previous prime is 35070382049. The next prime is 35070382097. The reversal of 35070382080 is 8028307053.

35070382080 is a `hidden beast` number, since 350 + 70 + 38 + 208 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15479341056 + 19591041024 = 124416^2 + 139968^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 43 ways as a sum of consecutive naturals, for example, 1209323506 + ... + 1209323534.

Almost surely, 2^35070382080 is an apocalyptic number.

35070382080 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 35070382080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65295129870).

35070382080 is an abundant number, since it is smaller than the sum of its proper divisors (95519877660).

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

35070382080 is an frugal number, since it uses more digits than its factorization.

35070382080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 35070382080 in words is "thirty-five billion, seventy million, three hundred eighty-two thousand, eighty".