3387520 has 64 divisors (see below), whose sum is σ = 8323200. Its totient is φ = 1317888.

The previous prime is 3387511. The next prime is 3387523. The reversal of 3387520 is 257833.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×3387520² = 22950583500800, which contains 22 as substring.

It is an Ulam number.

It is a d-powerful number, because it can be written as 3¹³ + 3¹³ + 8² + 7⁶ + 5⁶ + 2¹⁶ + 0 .

It is not an unprimeable number, because it can be changed into a prime (3387523) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42841 + ... + 42919.

It is an arithmetic number, because the mean of its divisors is an integer number (130050).

Almost surely, 2^3387520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3387520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4161600).

3387520 is an abundant number, since it is smaller than the sum of its proper divisors (4935680).

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

3387520 is an equidigital number, since it uses as much as digits as its factorization.

3387520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 3387520 is about 1840.5216651808. The cubic root of 3387520 is about 150.1852525971.

The spelling of 3387520 in words is "three million, three hundred eighty-seven thousand, five hundred twenty".