3468780 has 72 divisors (see below), whose sum is σ = 12029472. Its totient is φ = 792576.

The previous prime is 3468779. The next prime is 3468781. The reversal of 3468780 is 878643.

It is an interprime number because it is at equal distance from previous prime (3468779) and next prime (3468781).

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

It is not an unprimeable number, because it can be changed into a prime (3468781) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117 + ... + 2636.

It is an arithmetic number, because the mean of its divisors is an integer number (167076).

Almost surely, 2^3468780 is an apocalyptic number.

3468780 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 3468780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6014736).

3468780 is an abundant number, since it is smaller than the sum of its proper divisors (8560692).

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

3468780 is a wasteful number, since it uses less digits than its factorization.

3468780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2775 (or 2770 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 3468780 is about 1862.4661070742. The cubic root of 3468780 is about 151.3766600614.

The spelling of 3468780 in words is "three million, four hundred sixty-eight thousand, seven hundred eighty".