3362420 has 24 divisors (see below), whose sum is σ = 7144200. Its totient is φ = 1329152.

The previous prime is 3362417. The next prime is 3362431. The reversal of 3362420 is 242633.

It can be written as a sum of positive squares in 4 ways, for example, as 71824 + 3290596 = 268^2 + 1814^2 .

It is a super-2 number, since 2×3362420² = 22611736512800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a d-powerful number, because it can be written as 3⁸ + 3¹¹ + 6³ + 2¹⁵ + 4¹⁰ + 2²¹ + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 3362392 and 3362401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 836 + ... + 2724.

It is an arithmetic number, because the mean of its divisors is an integer number (297675).

Almost surely, 2^3362420 is an apocalyptic number.

It is an amenable number.

3362420 is an abundant number, since it is smaller than the sum of its proper divisors (3781780).

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

3362420 is a wasteful number, since it uses less digits than its factorization.

3362420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1987 (or 1985 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 3362420 is about 1833.6902682842. The cubic root of 3362420 is about 149.8133975895.

It can be divided in two parts, 3362 and 420, that multiplied together give a triangular number (1412040 = T₁₆₈₀).

The spelling of 3362420 in words is "three million, three hundred sixty-two thousand, four hundred twenty".