3675996000000 has 1008 divisors, whose sum is σ = 13763289452640. Its totient is φ = 967680000000.

The previous prime is 3675995999987. The next prime is 3675996000041. The reversal of 3675996000000 is 6995763.

3675996000000 is a `hidden beast` number, since 36 + 7 + 5 + 9 + 9 + 600 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 3675996000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 10907999832 + ... + 10908000168.

Almost surely, 2^{3675996000000} is an apocalyptic number.

3675996000000 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 3675996000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6881644726320).

3675996000000 is an abundant number, since it is smaller than the sum of its proper divisors (10087293452640).

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

3675996000000 is an frugal number, since it uses more digits than its factorization.

3675996000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The spelling of 3675996000000 in words is "three trillion, six hundred seventy-five billion, nine hundred ninety-six million", and thus it is an aban number.