3301467840 has 504 divisors, whose sum is σ = 13015770768. Its totient is φ = 761671680.

The previous prime is 3301467839. The next prime is 3301467877. The reversal of 3301467840 is 487641033.

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

It is a junction number, because it is equal to n+sod(n) for n = 3301467795 and 3301467804.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16758622 + ... + 16758818.

It is an arithmetic number, because the mean of its divisors is an integer number (25824942).

Almost surely, 2^3301467840 is an apocalyptic number.

3301467840 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 3301467840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6507885384).

3301467840 is an abundant number, since it is smaller than the sum of its proper divisors (9714302928).

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

3301467840 is a wasteful number, since it uses less digits than its factorization.

3301467840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3301467840 is about 57458.4009523412. The cubic root of 3301467840 is about 1489.0262604701.

The spelling of 3301467840 in words is "three billion, three hundred one million, four hundred sixty-seven thousand, eight hundred forty".