3962993580 has 576 divisors, whose sum is σ = 15878540160. Its totient is φ = 812851200.

The previous prime is 3962993537. The next prime is 3962993599. The reversal of 3962993580 is 853992693.

3962993580 is a `hidden beast` number, since 3 + 9 + 629 + 9 + 3 + 5 + 8 + 0 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14103040 + ... + 14103320.

It is an arithmetic number, because the mean of its divisors is an integer number (27566910).

Almost surely, 2^3962993580 is an apocalyptic number.

3962993580 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3962993580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7939270080).

3962993580 is an abundant number, since it is smaller than the sum of its proper divisors (11915546580).

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

3962993580 is a wasteful number, since it uses less digits than its factorization.

3962993580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The square root of 3962993580 is about 62952.3119511905. The cubic root of 3962993580 is about 1582.4905414857.

The spelling of 3962993580 in words is "three billion, nine hundred sixty-two million, nine hundred ninety-three thousand, five hundred eighty".