3340251200 has 252 divisors, whose sum is σ = 9717712848. Its totient is φ = 1120204800.

The previous prime is 3340251191. The next prime is 3340251221. The reversal of 3340251200 is 21520433.

It is a happy number.

It is a super-2 number, since 2×3340251200² = 22314556158202880000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2973839 + ... + 2974961.

Almost surely, 2^3340251200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3340251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4858856424).

3340251200 is an abundant number, since it is smaller than the sum of its proper divisors (6377461648).

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

3340251200 is a wasteful number, since it uses less digits than its factorization.

3340251200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 3340251200 is about 57794.9063499544. The cubic root of 3340251200 is about 1494.8342601392.

Adding to 3340251200 its reverse (21520433), we get a palindrome (3361771633).

The spelling of 3340251200 in words is "three billion, three hundred forty million, two hundred fifty-one thousand, two hundred".