3766641120 has 288 divisors, whose sum is σ = 14080850784. Its totient is φ = 909312000.

The previous prime is 3766641119. The next prime is 3766641139. The reversal of 3766641120 is 211466673.

It is a happy number.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6351544 + ... + 6352136.

It is an arithmetic number, because the mean of its divisors is an integer number (48891843).

Almost surely, 2^3766641120 is an apocalyptic number.

3766641120 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 3766641120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7040425392).

3766641120 is an abundant number, since it is smaller than the sum of its proper divisors (10314209664).

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

3766641120 is a wasteful number, since it uses less digits than its factorization.

3766641120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3766641120 is about 61372.9673390492. The cubic root of 3766641120 is about 1555.9109876542.

The spelling of 3766641120 in words is "three billion, seven hundred sixty-six million, six hundred forty-one thousand, one hundred twenty".