3534000 has 160 divisors (see below), whose sum is σ = 12380160. Its totient is φ = 864000.

The previous prime is 3533993. The next prime is 3534017. The reversal of 3534000 is 4353.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113985 + ... + 114015.

It is an arithmetic number, because the mean of its divisors is an integer number (77376).

Almost surely, 2^3534000 is an apocalyptic number.

3534000 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 3534000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6190080).

3534000 is an abundant number, since it is smaller than the sum of its proper divisors (8846160).

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

3534000 is a wasteful number, since it uses less digits than its factorization.

3534000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 3534000 is about 1879.8936140112. The cubic root of 3534000 is about 152.3195033733.

Adding to 3534000 its reverse (4353), we get a palindrome (3538353).

The spelling of 3534000 in words is "three million, five hundred thirty-four thousand".