3957661382400 has 1728 divisors, whose sum is σ = 16608991956480. Its totient is φ = 913489920000.

The previous prime is 3957661382399. The next prime is 3957661382407. The reversal of 3957661382400 is 42831667593.

3957661382400 is a `hidden beast` number, since 3 + 9 + 576 + 61 + 3 + 8 + 2 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3957661382407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3351109810 + ... + 3351110990.

It is an arithmetic number, because the mean of its divisors is an integer number (9611685160).

It is a 2-persistent number, because it is pandigital, and so is 2⋅3957661382400 = 7915322764800, but 3⋅3957661382400 = 11872984147200 is not.

Almost surely, 2^{3957661382400} is an apocalyptic number.

3957661382400 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 3957661382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8304495978240).

3957661382400 is an abundant number, since it is smaller than the sum of its proper divisors (12651330574080).

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

3957661382400 is a wasteful number, since it uses less digits than its factorization.

3957661382400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311 (or 1286 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 3957661382400 in words is "three trillion, nine hundred fifty-seven billion, six hundred sixty-one million, three hundred eighty-two thousand, four hundred".