3585423987600 has 960 divisors, whose sum is σ = 14738440679424. Its totient is φ = 724900700160.

The previous prime is 3585423987577. The next prime is 3585423987623. The reversal of 3585423987600 is 67893245853.

It is an interprime number because it is at equal distance from previous prime (3585423987577) and next prime (3585423987623).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 248859597 + ... + 248874003.

Almost surely, 2^{3585423987600} is an apocalyptic number.

3585423987600 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 3585423987600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7369220339712).

3585423987600 is an abundant number, since it is smaller than the sum of its proper divisors (11153016691824).

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

3585423987600 is a wasteful number, since it uses less digits than its factorization.

3585423987600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14544 (or 14533 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 60.

The spelling of 3585423987600 in words is "three trillion, five hundred eighty-five billion, four hundred twenty-three million, nine hundred eighty-seven thousand, six hundred".