3267774720 has 432 divisors, whose sum is σ = 13200969600. Its totient is φ = 746016768.

The previous prime is 3267774673. The next prime is 3267774739. The reversal of 3267774720 is 274777623.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 14.

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, 3950947 + ... + 3951773.

It is an arithmetic number, because the mean of its divisors is an integer number (30557800).

Almost surely, 2^3267774720 is an apocalyptic number.

3267774720 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 3267774720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6600484800).

3267774720 is an abundant number, since it is smaller than the sum of its proper divisors (9933194880).

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

3267774720 is an equidigital number, since it uses as much as digits as its factorization.

3267774720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 691488, while the sum is 45.

The square root of 3267774720 is about 57164.4532904846. The cubic root of 3267774720 is about 1483.9435127425.

The spelling of 3267774720 in words is "three billion, two hundred sixty-seven million, seven hundred seventy-four thousand, seven hundred twenty".