3972846240000 has 1215 divisors, whose sum is σ = 15838220465067. Its totient is φ = 956736000000.

The previous prime is 3972846239963. The next prime is 3972846240029. The reversal of 3972846240000 is 426482793.

The square root of 3972846240000 is 1993200.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 311471145216 + 3661375094784 = 558096^2 + 1913472^2 .

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 (13) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 26310239925 + ... + 26310240075.

Almost surely, 2^{3972846240000} is an apocalyptic number.

3972846240000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3972846240000 is the 1993200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3972846240000

3972846240000 is an abundant number, since it is smaller than the sum of its proper divisors (11865374225067).

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

3972846240000 is an equidigital number, since it uses as much as digits as its factorization.

3972846240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 3972846240000 in words is "three trillion, nine hundred seventy-two billion, eight hundred forty-six million, two hundred forty thousand".