3675672000 has 1792 divisors, whose sum is σ = 19171676160. Its totient is φ = 663552000.

The previous prime is 3675671971. The next prime is 3675672029. The reversal of 3675672000 is 2765763.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3675671971) and next prime (3675672029).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 216215992 + ... + 216216008.

It is an arithmetic number, because the mean of its divisors is an integer number (10698480).

Almost surely, 2^3675672000 is an apocalyptic number.

3675672000 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 3675672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9585838080).

3675672000 is an abundant number, since it is smaller than the sum of its proper divisors (15496004160).

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

3675672000 is a wasteful number, since it uses less digits than its factorization.

3675672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 3675672000 is about 60627.3205741438. The cubic root of 3675672000 is about 1543.2830393895.

The spelling of 3675672000 in words is "three billion, six hundred seventy-five million, six hundred seventy-two thousand".