3492000 has 144 divisors (see below), whose sum is σ = 12520872. Its totient is φ = 921600.

The previous prime is 3491981. The next prime is 3492001. The reversal of 3492000 is 2943.

It can be written as a sum of positive squares in 4 ways, for example, as 944784 + 2547216 = 972^2 + 1596^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3492001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35952 + ... + 36048.

Almost surely, 2^3492000 is an apocalyptic number.

3492000 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 3492000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6260436).

3492000 is an abundant number, since it is smaller than the sum of its proper divisors (9028872).

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

3492000 is a wasteful number, since it uses less digits than its factorization.

3492000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3492000 is about 1868.6893802877. The cubic root of 3492000 is about 151.7136807650.

Adding to 3492000 its reverse (2943), we get a palindrome (3494943).

The spelling of 3492000 in words is "three million, four hundred ninety-two thousand".