3990567043008 has 672 divisors, whose sum is σ = 15269640946560. Its totient is φ = 966379438080.

The previous prime is 3990567042997. The next prime is 3990567043019. The reversal of 3990567043008 is 8003407650993.

3990567043008 is a `hidden beast` number, since 3 + 9 + 90 + 56 + 70 + 430 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (3990567042997) and next prime (3990567043019).

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×3990567043008² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36479338 + ... + 36588566.

It is an arithmetic number, because the mean of its divisors is an integer number (22722679980).

Almost surely, 2^{3990567043008} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3990567043008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7634820473280).

3990567043008 is an abundant number, since it is smaller than the sum of its proper divisors (11279073903552).

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

3990567043008 is a wasteful number, since it uses less digits than its factorization.

3990567043008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109325 (or 109312 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 3990567043008 in words is "three trillion, nine hundred ninety billion, five hundred sixty-seven million, forty-three thousand, eight".