3434880 has 64 divisors (see below), whose sum is σ = 10954800. Its totient is φ = 915456.

The previous prime is 3434819. The next prime is 3434887. The reversal of 3434880 is 884343.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×3434880² = 23596801228800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3434887) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1026 + ... + 2814.

Almost surely, 2^3434880 is an apocalyptic number.

3434880 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 3434880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5477400).

3434880 is an abundant number, since it is smaller than the sum of its proper divisors (7519920).

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

3434880 is a wasteful number, since it uses less digits than its factorization.

3434880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1811 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 3434880 is about 1853.3429256346. The cubic root of 3434880 is about 150.8819157795.

The spelling of 3434880 in words is "three million, four hundred thirty-four thousand, eight hundred eighty".