3786210720 has 144 divisors (see below), whose sum is σ = 12949372800. Its totient is φ = 1007396352.

The previous prime is 3786210667. The next prime is 3786210733. The reversal of 3786210720 is 270126873.

3786210720 is a `hidden beast` number, since 3 + 7 + 8 + 621 + 0 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 698581 + ... + 703979.

It is an arithmetic number, because the mean of its divisors is an integer number (89926200).

Almost surely, 2^3786210720 is an apocalyptic number.

3786210720 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 3786210720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6474686400).

3786210720 is an abundant number, since it is smaller than the sum of its proper divisors (9163162080).

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

3786210720 is a wasteful number, since it uses less digits than its factorization.

3786210720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5907 (or 5896 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 3786210720 is about 61532.1925499165. The cubic root of 3786210720 is about 1558.6009152323.

The spelling of 3786210720 in words is "three billion, seven hundred eighty-six million, two hundred ten thousand, seven hundred twenty".