3475920 has 80 divisors (see below), whose sum is σ = 12320640. Its totient is φ = 794112.

The previous prime is 3475909. The next prime is 3475931. The reversal of 3475920 is 295743.

It is an interprime number because it is at equal distance from previous prime (3475909) and next prime (3475931).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a d-powerful number, because it can be written as 3⁹ + 4⁶ + 7⁷ + 5 + 9⁶ + 2²¹ + 0 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 646 + ... + 2714.

It is an arithmetic number, because the mean of its divisors is an integer number (154008).

Almost surely, 2^3475920 is an apocalyptic number.

3475920 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 3475920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6160320).

3475920 is an abundant number, since it is smaller than the sum of its proper divisors (8844720).

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

3475920 is a wasteful number, since it uses less digits than its factorization.

3475920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2092 (or 2086 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 3475920 is about 1864.3819351195. The cubic root of 3475920 is about 151.4804514637.

Adding to 3475920 its product of nonzero digits (7560), we get a triangular number (3483480 = T₂₆₃₉).

The spelling of 3475920 in words is "three million, four hundred seventy-five thousand, nine hundred twenty".