3962732544 has 160 divisors (see below), whose sum is σ = 11847024090. Its totient is φ = 1320026112.

The previous prime is 3962732539. The next prime is 3962732551. The reversal of 3962732544 is 4452372693.

3962732544 is a `hidden beast` number, since 39 + 6 + 2 + 73 + 2 + 544 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2687385600 + 1275346944 = 51840^2 + 35712^2 .

It is a super-3 number, since 3×3962732544³ (a number of 30 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3962732544.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2653462 + ... + 2654954.

Almost surely, 2^3962732544 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 3962732544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5923512045).

3962732544 is an abundant number, since it is smaller than the sum of its proper divisors (7884291546).

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

3962732544 is an frugal number, since it uses more digits than its factorization.

3962732544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535 (or 1498 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 45.

The square root of 3962732544 is about 62950.2386333841. The cubic root of 3962732544 is about 1582.4557953556.

The spelling of 3962732544 in words is "three billion, nine hundred sixty-two million, seven hundred thirty-two thousand, five hundred forty-four".