3430890 has 64 divisors (see below), whose sum is σ = 9313920. Its totient is φ = 898560.

The previous prime is 3430883. The next prime is 3430897. The reversal of 3430890 is 980343.

3430890 is a nontrivial binomial coefficient, being equal to C(2620, 2).

It is an interprime number because it is at equal distance from previous prime (3430883) and next prime (3430897).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3430897) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26125 + ... + 26255.

It is an arithmetic number, because the mean of its divisors is an integer number (145530).

Almost surely, 2^3430890 is an apocalyptic number.

3430890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3430890 is the 2619-th triangular number and also the 1310-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3430890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4656960).

3430890 is an abundant number, since it is smaller than the sum of its proper divisors (5883030).

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

3430890 is a wasteful number, since it uses less digits than its factorization.

3430890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3430890 is about 1852.2661795757. The cubic root of 3430890 is about 150.8234710305.

The spelling of 3430890 in words is "three million, four hundred thirty thousand, eight hundred ninety".