3402010800 has 480 divisors, whose sum is σ = 13008096000. Its totient is φ = 841881600.

The previous prime is 3402010789. The next prime is 3402010831. The reversal of 3402010800 is 80102043.

It is a happy number.

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

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 95 ways as a sum of consecutive naturals, for example, 12106660 + ... + 12106940.

It is an arithmetic number, because the mean of its divisors is an integer number (27100200).

Almost surely, 2^3402010800 is an apocalyptic number.

3402010800 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 3402010800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6504048000).

3402010800 is an abundant number, since it is smaller than the sum of its proper divisors (9606085200).

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

3402010800 is a wasteful number, since it uses less digits than its factorization.

3402010800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 3402010800 is about 58326.7588676072. The cubic root of 3402010800 is about 1503.9909720108.

Adding to 3402010800 its reverse (80102043), we get a palindrome (3482112843).

The spelling of 3402010800 in words is "three billion, four hundred two million, ten thousand, eight hundred".