3961401600 has 432 divisors, whose sum is σ = 14370955200. Its totient is φ = 955023360.

The previous prime is 3961401593. The next prime is 3961401601. The reversal of 3961401600 is 61041693.

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

It is not an unprimeable number, because it can be changed into a prime (3961401601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14726266 + ... + 14726534.

It is an arithmetic number, because the mean of its divisors is an integer number (33266100).

Almost surely, 2^3961401600 is an apocalyptic number.

3961401600 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 3961401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7185477600).

3961401600 is an abundant number, since it is smaller than the sum of its proper divisors (10409553600).

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

3961401600 is a wasteful number, since it uses less digits than its factorization.

3961401600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 3961401600 is about 62939.6663480194. Note that the first 3 decimals coincide. The cubic root of 3961401600 is about 1582.2786115679.

The spelling of 3961401600 in words is "three billion, nine hundred sixty-one million, four hundred one thousand, six hundred".