3972145363200 has 648 divisors, whose sum is σ = 17184815601408. Its totient is φ = 854510469120.

The previous prime is 3972145363051. The next prime is 3972145363223. The reversal of 3972145363200 is 23635412793.

3972145363200 is a `hidden beast` number, since 3 + 9 + 7 + 2 + 1 + 4 + 5 + 3 + 632 + 0 + 0 = 666.

It is a super-3 number, since 3×3972145363200³ (a number of 39 digits) contains 333 as substring.

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 71 ways as a sum of consecutive naturals, for example, 6564649 + ... + 7144151.

Almost surely, 2^{3972145363200} is an apocalyptic number.

3972145363200 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 3972145363200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8592407800704).

3972145363200 is an abundant number, since it is smaller than the sum of its proper divisors (13212670238208).

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

3972145363200 is a wasteful number, since it uses less digits than its factorization.

3972145363200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579559 (or 579537 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 3972145363200 in words is "three trillion, nine hundred seventy-two billion, one hundred forty-five million, three hundred sixty-three thousand, two hundred".