3675433144320 has 936 divisors, whose sum is σ = 15001549932096. Its totient is φ = 829808050176.

The previous prime is 3675433144309. The next prime is 3675433144333. The reversal of 3675433144320 is 234413345763.

3675433144320 is a `hidden beast` number, since 3 + 6 + 7 + 5 + 4 + 3 + 314 + 4 + 320 = 666.

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 71 ways as a sum of consecutive naturals, for example, 749626989 + ... + 749631891.

It is an arithmetic number, because the mean of its divisors is an integer number (16027296936).

Almost surely, 2^{3675433144320} is an apocalyptic number.

3675433144320 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 3675433144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7500774966048).

3675433144320 is an abundant number, since it is smaller than the sum of its proper divisors (11326116787776).

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

3675433144320 is a wasteful number, since it uses less digits than its factorization.

3675433144320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5035 (or 5003 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 45.

The spelling of 3675433144320 in words is "three trillion, six hundred seventy-five billion, four hundred thirty-three million, one hundred forty-four thousand, three hundred twenty".