3785411100 has 144 divisors (see below), whose sum is σ = 11274965856. Its totient is φ = 979968000.

The previous prime is 3785411081. The next prime is 3785411111. The reversal of 3785411100 is 11145873.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2963662 + ... + 2964938.

It is an arithmetic number, because the mean of its divisors is an integer number (78298374).

Almost surely, 2^3785411100 is an apocalyptic number.

3785411100 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 3785411100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5637482928).

3785411100 is an abundant number, since it is smaller than the sum of its proper divisors (7489554756).

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

3785411100 is a wasteful number, since it uses less digits than its factorization.

3785411100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1576 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 3785411100 is about 61525.6946324054. The cubic root of 3785411100 is about 1558.4911858043.

Adding to 3785411100 its reverse (11145873), we get a palindrome (3796556973).

The spelling of 3785411100 in words is "three billion, seven hundred eighty-five million, four hundred eleven thousand, one hundred".