3267274752 has 384 divisors, whose sum is σ = 11573452800. Its totient is φ = 890486784.

The previous prime is 3267274739. The next prime is 3267274753. The reversal of 3267274752 is 2574727623.

3267274752 is a `hidden beast` number, since 326 + 7 + 274 + 7 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 3267274698 and 3267274707.

It is not an unprimeable number, because it can be changed into a prime (3267274753) 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, 8902473 + ... + 8902839.

It is an arithmetic number, because the mean of its divisors is an integer number (30139200).

Almost surely, 2^3267274752 is an apocalyptic number.

3267274752 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 3267274752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5786726400).

3267274752 is an abundant number, since it is smaller than the sum of its proper divisors (8306178048).

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

3267274752 is a wasteful number, since it uses less digits than its factorization.

3267274752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 402 counting only the distinct ones).

The product of its digits is 987840, while the sum is 45.

The square root of 3267274752 is about 57160.0800559271. The cubic root of 3267274752 is about 1483.8678279952.

The spelling of 3267274752 in words is "three billion, two hundred sixty-seven million, two hundred seventy-four thousand, seven hundred fifty-two".