3785094040 has 128 divisors (see below), whose sum is σ = 10506101760. Its totient is φ = 1195144704.

The previous prime is 3785094023. The next prime is 3785094067. The reversal of 3785094040 is 404905873.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 3785093984 and 3785094002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2048397 + ... + 2050243.

It is an arithmetic number, because the mean of its divisors is an integer number (82078920).

Almost surely, 2^3785094040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3785094040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5253050880).

3785094040 is an abundant number, since it is smaller than the sum of its proper divisors (6721007720).

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

3785094040 is a wasteful number, since it uses less digits than its factorization.

3785094040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2441 (or 2437 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 3785094040 is about 61523.1179313923. The cubic root of 3785094040 is about 1558.4476723435.

The spelling of 3785094040 in words is "three billion, seven hundred eighty-five million, ninety-four thousand, forty".