3960635400 has 384 divisors, whose sum is σ = 14367830400. Its totient is φ = 1001548800.

The previous prime is 3960635377. The next prime is 3960635407. The reversal of 3960635400 is 45360693.

3960635400 is a `hidden beast` number, since 3 + 9 + 606 + 3 + 5 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3960635407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8591170 + ... + 8591630.

It is an arithmetic number, because the mean of its divisors is an integer number (37416225).

Almost surely, 2^3960635400 is an apocalyptic number.

3960635400 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 3960635400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7183915200).

3960635400 is an abundant number, since it is smaller than the sum of its proper divisors (10407195000).

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

3960635400 is a wasteful number, since it uses less digits than its factorization.

3960635400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 3960635400 is about 62933.5792721183. The cubic root of 3960635400 is about 1582.1765921174.

The spelling of 3960635400 in words is "three billion, nine hundred sixty million, six hundred thirty-five thousand, four hundred".