3972261384 has 640 divisors, whose sum is σ = 14753249280. Its totient is φ = 970444800.

The previous prime is 3972261383. The next prime is 3972261401. The reversal of 3972261384 is 4831622793.

3972261384 is a `hidden beast` number, since 3 + 9 + 7 + 2 + 261 + 384 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3972261383) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 74948302 + ... + 74948354.

It is an arithmetic number, because the mean of its divisors is an integer number (23051952).

Almost surely, 2^3972261384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3972261384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7376624640).

3972261384 is an abundant number, since it is smaller than the sum of its proper divisors (10780987896).

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

3972261384 is a wasteful number, since it uses less digits than its factorization.

3972261384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 150 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 3972261384 is about 63025.8786848704. The cubic root of 3972261384 is about 1583.7231782091.

It can be divided in two parts, 3972 and 261384, that added together give a triangular number (265356 = T₇₂₈).

The spelling of 3972261384 in words is "three billion, nine hundred seventy-two million, two hundred sixty-one thousand, three hundred eighty-four".