1962000384 has 120 divisors (see below), whose sum is σ = 5284661760. Its totient is φ = 647430144.

The previous prime is 1962000377. The next prime is 1962000407. The reversal of 1962000384 is 4830002691.

It is a super-2 number, since 2×1962000384² = 7698891013632294912, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8798097 + ... + 8798319.

It is an arithmetic number, because the mean of its divisors is an integer number (44038848).

Almost surely, 2^1962000384 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 1962000384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2642330880).

1962000384 is an abundant number, since it is smaller than the sum of its proper divisors (3322661376).

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

1962000384 is an equidigital number, since it uses as much as digits as its factorization.

1962000384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 1962000384 is about 44294.4735153269. The cubic root of 1962000384 is about 1251.8905544549.

The spelling of 1962000384 in words is "one billion, nine hundred sixty-two million, three hundred eighty-four", and thus it is an aban number.