3753870120 has 576 divisors, whose sum is σ = 16522047360. Its totient is φ = 719262720.

The previous prime is 3753870067. The next prime is 3753870139. The reversal of 3753870120 is 210783573.

3753870120 is a `hidden beast` number, since 37 + 538 + 70 + 1 + 20 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3963487 + ... + 3964433.

It is an arithmetic number, because the mean of its divisors is an integer number (28684110).

Almost surely, 2^3753870120 is an apocalyptic number.

3753870120 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 3753870120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8261023680).

3753870120 is an abundant number, since it is smaller than the sum of its proper divisors (12768177240).

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

3753870120 is a wasteful number, since it uses less digits than its factorization.

3753870120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 3753870120 is about 61268.8348183642. The cubic root of 3753870120 is about 1554.1505297851.

The spelling of 3753870120 in words is "three billion, seven hundred fifty-three million, eight hundred seventy thousand, one hundred twenty".