3517680960 has 280 divisors, whose sum is σ = 12634255656. Its totient is φ = 928972800.

The previous prime is 3517680931. The next prime is 3517680979. The reversal of 3517680960 is 690867153.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 475937856 + 3041743104 = 21816^2 + 55152^2 .

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, 2928360 + ... + 2929560.

Almost surely, 2^3517680960 is an apocalyptic number.

3517680960 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 3517680960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6317127828).

3517680960 is an abundant number, since it is smaller than the sum of its proper divisors (9116574696).

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

3517680960 is a wasteful number, since it uses less digits than its factorization.

3517680960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 3517680960 is about 59310.0409711543. The cubic root of 3517680960 is about 1520.8468503525.

The spelling of 3517680960 in words is "three billion, five hundred seventeen million, six hundred eighty thousand, nine hundred sixty".