3605874000960 has 1792 divisors, whose sum is σ = 15371049369600. Its totient is φ = 694407168000.

The previous prime is 3605874000959. The next prime is 3605874001013. The reversal of 3605874000960 is 690004785063.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6019822741 + ... + 6019823339.

Almost surely, 2^{3605874000960} is an apocalyptic number.

3605874000960 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 3605874000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7685524684800).

3605874000960 is an abundant number, since it is smaller than the sum of its proper divisors (11765175368640).

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

3605874000960 is a wasteful number, since it uses less digits than its factorization.

3605874000960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 3605874000960 in words is "three trillion, six hundred five billion, eight hundred seventy-four million, nine hundred sixty", and thus it is an aban number.