3267745920 has 384 divisors, whose sum is σ = 11758808880. Its totient is φ = 835584000.

The previous prime is 3267745919. The next prime is 3267745927. The reversal of 3267745920 is 295477623.

It can be written as a sum of positive squares in 8 ways, for example, as 1581493824 + 1686252096 = 39768^2 + 41064^2 .

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

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

It is not an unprimeable number, because it can be changed into a prime (3267745927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23852092 + ... + 23852228.

Almost surely, 2^3267745920 is an apocalyptic number.

3267745920 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 3267745920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5879404440).

3267745920 is an abundant number, since it is smaller than the sum of its proper divisors (8491062960).

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

3267745920 is a wasteful number, since it uses less digits than its factorization.

3267745920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 3267745920 is about 57164.2013851326. The cubic root of 3267745920 is about 1483.9391532316.

The spelling of 3267745920 in words is "three billion, two hundred sixty-seven million, seven hundred forty-five thousand, nine hundred twenty".