3934272000 has 320 divisors, whose sum is σ = 13522848768. Its totient is φ = 1013760000.

The previous prime is 3934271977. The next prime is 3934272007. The reversal of 3934272000 is 2724393.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (3934272007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5951670 + ... + 5952330.

Almost surely, 2^3934272000 is an apocalyptic number.

3934272000 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 3934272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6761424384).

3934272000 is an abundant number, since it is smaller than the sum of its proper divisors (9588576768).

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

3934272000 is an equidigital number, since it uses as much as digits as its factorization.

3934272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 3934272000 is about 62723.7753965751. The cubic root of 3934272000 is about 1578.6582637934.

Adding to 3934272000 its reverse (2724393), we get a palindrome (3936996393).

The spelling of 3934272000 in words is "three billion, nine hundred thirty-four million, two hundred seventy-two thousand".