3795411840 has 576 divisors, whose sum is σ = 14548721040. Its totient is φ = 838041600.

The previous prime is 3795411827. The next prime is 3795411869. The reversal of 3795411840 is 481145973.

It is a happy number.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3795411792 and 3795411801.

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 71 ways as a sum of consecutive naturals, for example, 122432625 + ... + 122432655.

Almost surely, 2^3795411840 is an apocalyptic number.

3795411840 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 3795411840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7274360520).

3795411840 is an abundant number, since it is smaller than the sum of its proper divisors (10753309200).

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

3795411840 is a wasteful number, since it uses less digits than its factorization.

3795411840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 3795411840 is about 61606.9138977112. The cubic root of 3795411840 is about 1559.8624467802.

It can be divided in two parts, 37954 and 11840, that added together give a palindrome (49794).

The spelling of 3795411840 in words is "three billion, seven hundred ninety-five million, four hundred eleven thousand, eight hundred forty".