3670893072 has 240 divisors, whose sum is σ = 12869176320. Its totient is φ = 948960000.

The previous prime is 3670893071. The next prime is 3670893091. The reversal of 3670893072 is 2703980763.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3670893071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2782429 + ... + 2783747.

It is an arithmetic number, because the mean of its divisors is an integer number (53621568).

Almost surely, 2^3670893072 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 3670893072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6434588160).

3670893072 is an abundant number, since it is smaller than the sum of its proper divisors (9198283248).

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

3670893072 is a wasteful number, since it uses less digits than its factorization.

3670893072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1602 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 3670893072 is about 60587.8954247464. The cubic root of 3670893072 is about 1542.6139157438.

The spelling of 3670893072 in words is "three billion, six hundred seventy million, eight hundred ninety-three thousand, seventy-two".