3963274142400 has 840 divisors, whose sum is σ = 15151989853440. Its totient is φ = 1014902784000.

The previous prime is 3963274142351. The next prime is 3963274142419. The reversal of 3963274142400 is 42414723693.

3963274142400 is a `hidden beast` number, since 3 + 9 + 6 + 32 + 74 + 142 + 400 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 717851640 + ... + 717857160.

Almost surely, 2^{3963274142400} is an apocalyptic number.

3963274142400 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 3963274142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7575994926720).

3963274142400 is an abundant number, since it is smaller than the sum of its proper divisors (11188715711040).

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

3963274142400 is a wasteful number, since it uses less digits than its factorization.

3963274142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5775 (or 5751 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 3963274142400 in words is "three trillion, nine hundred sixty-three billion, two hundred seventy-four million, one hundred forty-two thousand, four hundred".