3505682880 has 672 divisors, whose sum is σ = 14943636864. Its totient is φ = 736100352.

The previous prime is 3505682879. The next prime is 3505682881. The reversal of 3505682880 is 882865053.

It is a happy number.

3505682880 is a `hidden beast` number, since 3 + 5 + 0 + 568 + 2 + 8 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (3505682879) and next prime (3505682881).

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3505682881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18164064 + ... + 18164256.

Almost surely, 2^3505682880 is an apocalyptic number.

3505682880 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 3505682880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7471818432).

3505682880 is an abundant number, since it is smaller than the sum of its proper divisors (11437953984).

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

3505682880 is a wasteful number, since it uses less digits than its factorization.

3505682880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 3505682880 is about 59208.8074529457. The cubic root of 3505682880 is about 1519.1157830538.

The spelling of 3505682880 in words is "three billion, five hundred five million, six hundred eighty-two thousand, eight hundred eighty".