3252690720 has 288 divisors, whose sum is σ = 11685688560. Its totient is φ = 822804480.

The previous prime is 3252690713. The next prime is 3252690809. The reversal of 3252690720 is 270962523.

3252690720 is a `hidden beast` number, since 325 + 269 + 0 + 72 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 769063824 + 2483626896 = 27732^2 + 49836^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2183736 + ... + 2185224.

Almost surely, 2^3252690720 is an apocalyptic number.

3252690720 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 3252690720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5842844280).

3252690720 is an abundant number, since it is smaller than the sum of its proper divisors (8432997840).

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

3252690720 is a wasteful number, since it uses less digits than its factorization.

3252690720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1588 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 3252690720 is about 57032.3655479939. The cubic root of 3252690720 is about 1481.6567033625.

The spelling of 3252690720 in words is "three billion, two hundred fifty-two million, six hundred ninety thousand, seven hundred twenty".