3934152000 has 336 divisors, whose sum is σ = 14238725904. Its totient is φ = 1036800000.

The previous prime is 3934151971. The next prime is 3934152011. The reversal of 3934152000 is 2514393.

3934152000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 499254336 + 3434897664 = 22344^2 + 58608^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7271730 + ... + 7272270.

Almost surely, 2^3934152000 is an apocalyptic number.

3934152000 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 3934152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7119362952).

3934152000 is an abundant number, since it is smaller than the sum of its proper divisors (10304573904).

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

3934152000 is a wasteful number, since it uses less digits than its factorization.

3934152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 3934152000 is about 62722.8188142083. The cubic root of 3934152000 is about 1578.6422133087.

Adding to 3934152000 its reverse (2514393), we get a palindrome (3936666393).

The spelling of 3934152000 in words is "three billion, nine hundred thirty-four million, one hundred fifty-two thousand".