3971246400 has 672 divisors, whose sum is σ = 16168786560. Its totient is φ = 940032000.

The previous prime is 3971246387. The next prime is 3971246407. The reversal of 3971246400 is 46421793.

3971246400 is a `hidden beast` number, since 3 + 9 + 7 + 1 + 2 + 4 + 640 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3971246407) 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, 28987132 + ... + 28987268.

Almost surely, 2^3971246400 is an apocalyptic number.

3971246400 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 3971246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8084393280).

3971246400 is an abundant number, since it is smaller than the sum of its proper divisors (12197540160).

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

3971246400 is a wasteful number, since it uses less digits than its factorization.

3971246400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3971246400 is about 63017.8260494600. The cubic root of 3971246400 is about 1583.5882768300.

The spelling of 3971246400 in words is "three billion, nine hundred seventy-one million, two hundred forty-six thousand, four hundred".