3978152053200 has 360 divisors, whose sum is σ = 14937736180640. Its totient is φ = 974594073600.

The previous prime is 3978152053199. The next prime is 3978152053201. The reversal of 3978152053200 is 23502518793.

3978152053200 is a `hidden beast` number, since 3 + 9 + 78 + 1 + 520 + 53 + 2 + 0 + 0 = 666.

3978152053200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3978152053199) and next prime (3978152053201).

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3978152053201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9673371 + ... + 10076229.

Almost surely, 2^{3978152053200} is an apocalyptic number.

3978152053200 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 3978152053200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7468868090320).

3978152053200 is an abundant number, since it is smaller than the sum of its proper divisors (10959584127440).

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

3978152053200 is a wasteful number, since it uses less digits than its factorization.

3978152053200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403107 (or 403093 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 3978152053200 in words is "three trillion, nine hundred seventy-eight billion, one hundred fifty-two million, fifty-three thousand, two hundred".