3670509960 has 192 divisors, whose sum is σ = 12947014080. Its totient is φ = 896463360.

The previous prime is 3670509943. The next prime is 3670510009. The reversal of 3670509960 is 699050763.

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 47 ways as a sum of consecutive naturals, for example, 610087 + ... + 616073.

It is an arithmetic number, because the mean of its divisors is an integer number (67432365).

Almost surely, 2^3670509960 is an apocalyptic number.

3670509960 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 3670509960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6473507040).

3670509960 is an abundant number, since it is smaller than the sum of its proper divisors (9276504120).

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

3670509960 is a wasteful number, since it uses less digits than its factorization.

3670509960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6148 (or 6141 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 3670509960 is about 60584.7337206330. The cubic root of 3670509960 is about 1542.5602490155.

The spelling of 3670509960 in words is "three billion, six hundred seventy million, five hundred nine thousand, nine hundred sixty".