3962198916 has 135 divisors (see below), whose sum is σ = 11257877631. Its totient is φ = 1214606016.

The previous prime is 3962198897. The next prime is 3962198951. The reversal of 3962198916 is 6198912693.

The square root of 3962198916 is 62946.

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

3962198916 is a `hidden beast` number, since 3 + 9 + 621 + 9 + 8 + 9 + 1 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2495002500 + 1467196416 = 49950^2 + 38304^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 14729230 + ... + 14729498.

Almost surely, 2^3962198916 is an apocalyptic number.

3962198916 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3962198916 is the 62946-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3962198916

3962198916 is an abundant number, since it is smaller than the sum of its proper divisors (7295678715).

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

3962198916 is a wasteful number, since it uses less digits than its factorization.

3962198916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 287 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 54.

The cubic root of 3962198916 is about 1582.3847601445.

The spelling of 3962198916 in words is "three billion, nine hundred sixty-two million, one hundred ninety-eight thousand, nine hundred sixteen".