3905400500 has 24 divisors (see below), whose sum is σ = 8529395784. Its totient is φ = 1562160000.

The previous prime is 3905400461. The next prime is 3905400503. The reversal of 3905400500 is 50045093.

It can be written as a sum of positive squares in 4 ways, for example, as 8145316 + 3897255184 = 2854^2 + 62428^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3905400500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3905400503) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3904901 + ... + 3905900.

It is an arithmetic number, because the mean of its divisors is an integer number (355391491).

Almost surely, 2^3905400500 is an apocalyptic number.

It is an amenable number.

3905400500 is an abundant number, since it is smaller than the sum of its proper divisors (4623995284).

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

3905400500 is a wasteful number, since it uses less digits than its factorization.

3905400500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7810820 (or 7810808 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 26.

The square root of 3905400500 is about 62493.2036304749. The cubic root of 3905400500 is about 1574.7871384456.

Adding to 3905400500 its reverse (50045093), we get a palindrome (3955445593).

The spelling of 3905400500 in words is "three billion, nine hundred five million, four hundred thousand, five hundred".