3942264000 has 224 divisors, whose sum is σ = 13086380736. Its totient is φ = 1045708800.

The previous prime is 3942263971. The next prime is 3942264013. The reversal of 3942264000 is 4622493.

3942264000 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 (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6647704 + ... + 6648296.

Almost surely, 2^3942264000 is an apocalyptic number.

3942264000 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 3942264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6543190368).

3942264000 is an abundant number, since it is smaller than the sum of its proper divisors (9144116736).

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

3942264000 is a wasteful number, since it uses less digits than its factorization.

3942264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 3942264000 is about 62787.4509754935. The cubic root of 3942264000 is about 1579.7264922071.

Adding to 3942264000 its reverse (4622493), we get a palindrome (3946886493).

The spelling of 3942264000 in words is "three billion, nine hundred forty-two million, two hundred sixty-four thousand".