3360403200 has 432 divisors, whose sum is σ = 13832614656. Its totient is φ = 697958400.

The previous prime is 3360403199. The next prime is 3360403261. The reversal of 3360403200 is 23040633.

It is a super-2 number, since 2×3360403200² = 22584619333140480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1477264 + ... + 1479536.

Almost surely, 2^3360403200 is an apocalyptic number.

3360403200 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 3360403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6916307328).

3360403200 is an abundant number, since it is smaller than the sum of its proper divisors (10472211456).

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

3360403200 is a wasteful number, since it uses less digits than its factorization.

3360403200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2320 (or 2301 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 3360403200 is about 57968.9848108452. The cubic root of 3360403200 is about 1497.8343860265.

Adding to 3360403200 its reverse (23040633), we get a palindrome (3383443833).

The spelling of 3360403200 in words is "three billion, three hundred sixty million, four hundred three thousand, two hundred".