35350081920 has 384 divisors, whose sum is σ = 125888424480. Its totient is φ = 9134899200.

The previous prime is 35350081919. The next prime is 35350081931. The reversal of 35350081920 is 2918005353.

35350081920 is a `hidden beast` number, since 3 + 53 + 500 + 81 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42744547 + ... + 42745373.

Almost surely, 2^35350081920 is an apocalyptic number.

35350081920 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 35350081920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62944212240).

35350081920 is an abundant number, since it is smaller than the sum of its proper divisors (90538342560).

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

35350081920 is a wasteful number, since it uses less digits than its factorization.

35350081920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 35350081920 in words is "thirty-five billion, three hundred fifty million, eighty-one thousand, nine hundred twenty".