3762380160 has 768 divisors, whose sum is σ = 17184960000. Its totient is φ = 734330880.

The previous prime is 3762380101. The next prime is 3762380197. The reversal of 3762380160 is 610832673.

It is a happy number.

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 95 ways as a sum of consecutive naturals, for example, 7539591 + ... + 7540089.

It is an arithmetic number, because the mean of its divisors is an integer number (22376250).

Almost surely, 2^3762380160 is an apocalyptic number.

3762380160 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 3762380160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8592480000).

3762380160 is an abundant number, since it is smaller than the sum of its proper divisors (13422579840).

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

3762380160 is a wasteful number, since it uses less digits than its factorization.

3762380160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 544 counting only the distinct ones).

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

The square root of 3762380160 is about 61338.2438613953. The cubic root of 3762380160 is about 1555.3240654467.

The spelling of 3762380160 in words is "three billion, seven hundred sixty-two million, three hundred eighty thousand, one hundred sixty".