3462000 has 80 divisors (see below), whose sum is σ = 11180832. Its totient is φ = 921600.

The previous prime is 3461993. The next prime is 3462023. The reversal of 3462000 is 2643.

3462000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5712 + ... + 6288.

Almost surely, 2^3462000 is an apocalyptic number.

3462000 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 3462000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5590416).

3462000 is an abundant number, since it is smaller than the sum of its proper divisors (7718832).

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

3462000 is a wasteful number, since it uses less digits than its factorization.

3462000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 3462000 is about 1860.6450494385. The cubic root of 3462000 is about 151.2779699201.

Adding to 3462000 its reverse (2643), we get a palindrome (3464643).

It can be divided in two parts, 346 and 2000, that added together give a triangular number (2346 = T₆₈).

The spelling of 3462000 in words is "three million, four hundred sixty-two thousand".