3972843632250 has 768 divisors, whose sum is σ = 12122820702720. Its totient is φ = 969847603200.

The previous prime is 3972843632221. The next prime is 3972843632279. The reversal of 3972843632250 is 522363482793.

It is a happy number.

3972843632250 is a `hidden beast` number, since 3 + 9 + 7 + 28 + 4 + 363 + 2 + 250 = 666.

It is an interprime number because it is at equal distance from previous prime (3972843632221) and next prime (3972843632279).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6885343962 + ... + 6885344538.

It is an arithmetic number, because the mean of its divisors is an integer number (15784922790).

Almost surely, 2^{3972843632250} is an apocalyptic number.

3972843632250 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3972843632250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6061410351360).

3972843632250 is an abundant number, since it is smaller than the sum of its proper divisors (8149977070470).

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

3972843632250 is a wasteful number, since it uses less digits than its factorization.

3972843632250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 3972843632250 in words is "three trillion, nine hundred seventy-two billion, eight hundred forty-three million, six hundred thirty-two thousand, two hundred fifty".