3978201182400 has 1008 divisors, whose sum is σ = 16032542423040. Its totient is φ = 930266726400.

The previous prime is 3978201182359. The next prime is 3978201182429. The reversal of 3978201182400 is 42811028793.

It is a happy number.

3978201182400 is a `hidden beast` number, since 3 + 97 + 82 + 0 + 1 + 1 + 82 + 400 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 195066604 + ... + 195086996.

Almost surely, 2^{3978201182400} is an apocalyptic number.

3978201182400 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 3978201182400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8016271211520).

3978201182400 is an abundant number, since it is smaller than the sum of its proper divisors (12054341240640).

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

3978201182400 is a wasteful number, since it uses less digits than its factorization.

3978201182400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20494 (or 20476 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 3978201182400 in words is "three trillion, nine hundred seventy-eight billion, two hundred one million, one hundred eighty-two thousand, four hundred".