3387900 has 72 divisors (see below), whose sum is σ = 10249344. Its totient is φ = 862400.

The previous prime is 3387899. The next prime is 3387911. The reversal of 3387900 is 97833.

It is a super-2 number, since 2×3387900² = 22955732820000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6655 + ... + 7145.

It is an arithmetic number, because the mean of its divisors is an integer number (142352).

Almost surely, 2^3387900 is an apocalyptic number.

3387900 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 3387900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5124672).

3387900 is an abundant number, since it is smaller than the sum of its proper divisors (6861444).

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

3387900 is a wasteful number, since it uses less digits than its factorization.

3387900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 3387900 is about 1840.6248938879. The cubic root of 3387900 is about 150.1908681371.

The spelling of 3387900 in words is "three million, three hundred eighty-seven thousand, nine hundred".