3962385000 has 480 divisors, whose sum is σ = 16026120000. Its totient is φ = 904176000.

The previous prime is 3962384999. The next prime is 3962385023. The reversal of 3962385000 is 5832693.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6614701 + ... + 6615299.

It is an arithmetic number, because the mean of its divisors is an integer number (33387750).

Almost surely, 2^3962385000 is an apocalyptic number.

3962385000 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 3962385000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8013060000).

3962385000 is an abundant number, since it is smaller than the sum of its proper divisors (12063735000).

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

3962385000 is a wasteful number, since it uses less digits than its factorization.

3962385000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 3962385000 is about 62947.4781067518. The cubic root of 3962385000 is about 1582.4095319006.

The spelling of 3962385000 in words is "three billion, nine hundred sixty-two million, three hundred eighty-five thousand".