3500353680 has 160 divisors (see below), whose sum is σ = 11207282688. Its totient is φ = 903168000.

The previous prime is 3500353663. The next prime is 3500353687. The reversal of 3500353680 is 863530053.

It is not an unprimeable number, because it can be changed into a prime (3500353687) by changing a digit.

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, 1248280 + ... + 1251080.

Almost surely, 2^3500353680 is an apocalyptic number.

3500353680 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 3500353680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5603641344).

3500353680 is an abundant number, since it is smaller than the sum of its proper divisors (7706929008).

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

3500353680 is a wasteful number, since it uses less digits than its factorization.

3500353680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2985 (or 2979 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The square root of 3500353680 is about 59163.7868970538. The cubic root of 3500353680 is about 1518.3456261575.

The spelling of 3500353680 in words is "three billion, five hundred million, three hundred fifty-three thousand, six hundred eighty".