3390986200 has 144 divisors (see below), whose sum is σ = 9217378800. Its totient is φ = 1156780800.

The previous prime is 3390986197. The next prime is 3390986201. The reversal of 3390986200 is 26890933.

It is a super-2 number, since 2×3390986200² = 22997574817180880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3390986201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2243445 + ... + 2244955.

It is an arithmetic number, because the mean of its divisors is an integer number (64009575).

Almost surely, 2^3390986200 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 3390986200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4608689400).

3390986200 is an abundant number, since it is smaller than the sum of its proper divisors (5826392600).

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

3390986200 is a wasteful number, since it uses less digits than its factorization.

3390986200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1770 (or 1754 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 40.

The square root of 3390986200 is about 58232.1749550882. The cubic root of 3390986200 is about 1502.3645964231.

The spelling of 3390986200 in words is "three billion, three hundred ninety million, nine hundred eighty-six thousand, two hundred".