3675467004000 has 384 divisors, whose sum is σ = 13140731036160. Its totient is φ = 890664192000.

The previous prime is 3675467003983. The next prime is 3675467004007. The reversal of 3675467004000 is 4007645763.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3675467004007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 492752271 + ... + 492759729.

It is an arithmetic number, because the mean of its divisors is an integer number (34220653740).

Almost surely, 2^{3675467004000} is an apocalyptic number.

3675467004000 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 3675467004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6570365518080).

3675467004000 is an abundant number, since it is smaller than the sum of its proper divisors (9465264032160).

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

3675467004000 is a wasteful number, since it uses less digits than its factorization.

3675467004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11231 (or 11213 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 42.

The spelling of 3675467004000 in words is "three trillion, six hundred seventy-five billion, four hundred sixty-seven million, four thousand".