3529680 has 160 divisors (see below), whose sum is σ = 13713408. Its totient is φ = 729600.

The previous prime is 3529657. The next prime is 3529703. The reversal of 3529680 is 869253.

3529680 = T₂₁₆ + T₂₁₇ + ... + T₃₁₄.

3529680 = 205² + 206² + ... + 267².

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3529657) and next prime (3529703).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18385 + ... + 18575.

Almost surely, 2^3529680 is an apocalyptic number.

3529680 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 3529680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6856704).

3529680 is an abundant number, since it is smaller than the sum of its proper divisors (10183728).

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

3529680 is a wasteful number, since it uses less digits than its factorization.

3529680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 3529680 is about 1878.7442614683. The cubic root of 3529680 is about 152.2574123942.

The spelling of 3529680 in words is "three million, five hundred twenty-nine thousand, six hundred eighty".