3249772128 has 144 divisors (see below), whose sum is σ = 9494621136. Its totient is φ = 1053803520.

The previous prime is 3249772121. The next prime is 3249772153. The reversal of 3249772128 is 8212779423.

3249772128 is a `hidden beast` number, since 32 + 497 + 7 + 2 + 128 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3249772128² = 21122037767851296768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3249772121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4916118 + ... + 4916778.

It is an arithmetic number, because the mean of its divisors is an integer number (65934869).

Almost surely, 2^3249772128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3249772128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4747310568).

3249772128 is an abundant number, since it is smaller than the sum of its proper divisors (6244849008).

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

3249772128 is a wasteful number, since it uses less digits than its factorization.

3249772128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117 (or 1106 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 3249772128 is about 57006.7726502738. The cubic root of 3249772128 is about 1481.2134144251.

The spelling of 3249772128 in words is "three billion, two hundred forty-nine million, seven hundred seventy-two thousand, one hundred twenty-eight".