3290400 has 108 divisors (see below), whose sum is σ = 11628162. Its totient is φ = 875520.

The previous prime is 3290389. The next prime is 3290411. The reversal of 3290400 is 40923.

3290400 = 53³ + 54³ + ... + 67³.

It is an interprime number because it is at equal distance from previous prime (3290389) and next prime (3290411).

It can be written as a sum of positive squares in 3 ways, for example, as 2944656 + 345744 = 1716^2 + 588^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a zygodrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6972 + ... + 7428.

Almost surely, 2^3290400 is an apocalyptic number.

3290400 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 3290400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5814081).

3290400 is an abundant number, since it is smaller than the sum of its proper divisors (8337762).

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

3290400 is a wasteful number, since it uses less digits than its factorization.

3290400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3290400 is about 1813.9459749397. The cubic root of 3290400 is about 148.7360460512.

The spelling of 3290400 in words is "three million, two hundred ninety thousand, four hundred".