3962943600 has 540 divisors, whose sum is σ = 16260881112. Its totient is φ = 821990400.

The previous prime is 3962943599. The next prime is 3962943637. The reversal of 3962943600 is 63492693.

3962943600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 7114522 + ... + 7115078.

Almost surely, 2^3962943600 is an apocalyptic number.

3962943600 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 3962943600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8130440556).

3962943600 is an abundant number, since it is smaller than the sum of its proper divisors (12297937512).

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

3962943600 is a wasteful number, since it uses less digits than its factorization.

3962943600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 42.

The square root of 3962943600 is about 62951.9149827867. The cubic root of 3962943600 is about 1582.4838888372.

The spelling of 3962943600 in words is "three billion, nine hundred sixty-two million, nine hundred forty-three thousand, six hundred".