3486720 has 88 divisors (see below), whose sum is σ = 11201184. Its totient is φ = 925696.

The previous prime is 3486713. The next prime is 3486727. The reversal of 3486720 is 276843.

It is an interprime number because it is at equal distance from previous prime (3486713) and next prime (3486727).

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 (3486727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15247 + ... + 15473.

Almost surely, 2^3486720 is an apocalyptic number.

3486720 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 3486720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5600592).

3486720 is an abundant number, since it is smaller than the sum of its proper divisors (7714464).

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

3486720 is a wasteful number, since it uses less digits than its factorization.

3486720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 3486720 is about 1867.2760909946. The cubic root of 3486720 is about 151.6371771081.

It can be divided in two parts, 3486 and 720, that multiplied together give a triangular number (2509920 = T₂₂₄₀).

The spelling of 3486720 in words is "three million, four hundred eighty-six thousand, seven hundred twenty".