3505869360 has 480 divisors, whose sum is σ = 14633349120. Its totient is φ = 734054400.

The previous prime is 3505869349. The next prime is 3505869377. The reversal of 3505869360 is 639685053.

3505869360 is a `hidden beast` number, since 3 + 5 + 0 + 586 + 9 + 3 + 60 = 666.

It is a super-2 number, since 2×3505869360² = 24582239938773619200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2967970 + ... + 2969150.

It is an arithmetic number, because the mean of its divisors is an integer number (30486144).

Almost surely, 2^3505869360 is an apocalyptic number.

3505869360 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 3505869360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7316674560).

3505869360 is an abundant number, since it is smaller than the sum of its proper divisors (11127479760).

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

3505869360 is a wasteful number, since it uses less digits than its factorization.

3505869360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 3505869360 is about 59210.3821977193. The cubic root of 3505869360 is about 1519.1427183375.

The spelling of 3505869360 in words is "three billion, five hundred five million, eight hundred sixty-nine thousand, three hundred sixty".