3982241025 has 81 divisors (see below), whose sum is σ = 8310976713. Its totient is φ = 1817424000.

The previous prime is 3982241017. The next prime is 3982241033. The reversal of 3982241025 is 5201422893.

It is a happy number.

The square root of 3982241025 is 63105.

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

3982241025 is a `hidden beast` number, since 398 + 2 + 241 + 0 + 25 = 666.

It is an interprime number because it is at equal distance from previous prime (3982241017) and next prime (3982241033).

It can be written as a sum of positive squares in 4 ways, for example, as 211789809 + 3770451216 = 14553^2 + 61404^2 .

It is not a de Polignac number, because 3982241025 - 2³ = 3982241017 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6625725 + ... + 6626325.

Almost surely, 2^3982241025 is an apocalyptic number.

3982241025 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3982241025 is the 63105-th square number.

3982241025 is the 31553-rd centered octagonal number.

It is an amenable number.

3982241025 is an abundant number, since it is smaller than the sum of its proper divisors (4328735688).

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

3982241025 is an equidigital number, since it uses as much as digits as its factorization.

3982241025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The cubic root of 3982241025 is about 1585.0483487592.

Multiplying 3982241025 by its sum of digits (36), we get a square (143360676900 = 378630²).

The spelling of 3982241025 in words is "three billion, nine hundred eighty-two million, two hundred forty-one thousand, twenty-five".