3785401120 has 48 divisors (see below), whose sum is σ = 8954213688. Its totient is φ = 1512263680.

The previous prime is 3785401099. The next prime is 3785401121. The reversal of 3785401120 is 211045873.

It can be written as a sum of positive squares in 4 ways, for example, as 3489973776 + 295427344 = 59076^2 + 17188^2 .

It is not an unprimeable number, because it can be changed into a prime (3785401121) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 116952 + ... + 145768.

Almost surely, 2^3785401120 is an apocalyptic number.

It is an amenable number.

3785401120 is an abundant number, since it is smaller than the sum of its proper divisors (5168812568).

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

3785401120 is a wasteful number, since it uses less digits than its factorization.

3785401120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29653 (or 29645 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 3785401120 is about 61525.6135280259. The cubic root of 3785401120 is about 1558.4898161815.

Adding to 3785401120 its reverse (211045873), we get a palindrome (3996446993).

The spelling of 3785401120 in words is "three billion, seven hundred eighty-five million, four hundred one thousand, one hundred twenty".