3352500 has 90 divisors (see below), whose sum is σ = 10660650. Its totient is φ = 888000.

The previous prime is 3352483. The next prime is 3352511. The reversal of 3352500 is 52533.

It can be written as a sum of positive squares in 5 ways, for example, as 2039184 + 1313316 = 1428^2 + 1146^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×3352500² = 22478512500000, which contains 22 as substring.

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

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 22426 + ... + 22574.

Almost surely, 2^3352500 is an apocalyptic number.

3352500 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 3352500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5330325).

3352500 is an abundant number, since it is smaller than the sum of its proper divisors (7308150).

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

3352500 is a wasteful number, since it uses less digits than its factorization.

3352500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 18.

The square root of 3352500 is about 1830.9833423601. The cubic root of 3352500 is about 149.6659231702.

The spelling of 3352500 in words is "three million, three hundred fifty-two thousand, five hundred".