3505783680 has 320 divisors, whose sum is σ = 14309808480. Its totient is φ = 801239040.

The previous prime is 3505783667. The next prime is 3505783691. The reversal of 3505783680 is 863875053.

3505783680 is a `hidden beast` number, since 3 + 505 + 7 + 83 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 358050 + ... + 367710.

Almost surely, 2^3505783680 is an apocalyptic number.

3505783680 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 3505783680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7154904240).

3505783680 is an abundant number, since it is smaller than the sum of its proper divisors (10804024800).

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

3505783680 is an equidigital number, since it uses as much as digits as its factorization.

3505783680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9699 (or 9678 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 3505783680 is about 59209.6586715377. The cubic root of 3505783680 is about 1519.1303427852.

The spelling of 3505783680 in words is "three billion, five hundred five million, seven hundred eighty-three thousand, six hundred eighty".