3726645120 has 288 divisors, whose sum is σ = 14147438760. Its totient is φ = 903260160.

The previous prime is 3726645107. The next prime is 3726645151. The reversal of 3726645120 is 215466273.

3726645120 is a `hidden beast` number, since 3 + 7 + 2 + 6 + 645 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 35 ways as a sum of consecutive naturals, for example, 694287 + ... + 699633.

Almost surely, 2^3726645120 is an apocalyptic number.

3726645120 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 3726645120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7073719380).

3726645120 is an abundant number, since it is smaller than the sum of its proper divisors (10420793640).

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

3726645120 is a wasteful number, since it uses less digits than its factorization.

3726645120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5394 (or 5368 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3726645120 is about 61046.2539391239. The cubic root of 3726645120 is about 1550.3842432749.

It can be divided in two parts, 3726 and 645120, that added together give a palindrome (648846).

The spelling of 3726645120 in words is "three billion, seven hundred twenty-six million, six hundred forty-five thousand, one hundred twenty".