3470880 has 96 divisors (see below), whose sum is σ = 12507264. Its totient is φ = 792576.

The previous prime is 3470867. The next prime is 3470881. The reversal of 3470880 is 880743.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3470881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2844 + ... + 3876.

It is an arithmetic number, because the mean of its divisors is an integer number (130284).

Almost surely, 2^3470880 is an apocalyptic number.

3470880 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 3470880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6253632).

3470880 is an abundant number, since it is smaller than the sum of its proper divisors (9036384).

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

3470880 is a wasteful number, since it uses less digits than its factorization.

3470880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 3470880 is about 1863.0297904220. The cubic root of 3470880 is about 151.4072017175.

The spelling of 3470880 in words is "three million, four hundred seventy thousand, eight hundred eighty".