3932998272 has 192 divisors, whose sum is σ = 13352501760. Its totient is φ = 1087395840.

The previous prime is 3932998219. The next prime is 3932998291. The reversal of 3932998272 is 2728992393.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 242118 + ... + 257850.

It is an arithmetic number, because the mean of its divisors is an integer number (69544280).

Almost surely, 2^3932998272 is an apocalyptic number.

3932998272 is a gapful number since it is divisible by the number (32) 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 3932998272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6676250880).

3932998272 is an abundant number, since it is smaller than the sum of its proper divisors (9419503488).

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

3932998272 is a wasteful number, since it uses less digits than its factorization.

3932998272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15791 (or 15776 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The square root of 3932998272 is about 62713.6211041908. The cubic root of 3932998272 is about 1578.4878808721.

The spelling of 3932998272 in words is "three billion, nine hundred thirty-two million, nine hundred ninety-eight thousand, two hundred seventy-two".