3402380800 has 480 divisors, whose sum is σ = 10911301632. Its totient is φ = 1021870080.

The previous prime is 3402380771. The next prime is 3402380803. The reversal of 3402380800 is 80832043.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3402380803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26790337 + ... + 26790463.

Almost surely, 2^3402380800 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 3402380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5455650816).

3402380800 is an abundant number, since it is smaller than the sum of its proper divisors (7508920832).

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

3402380800 is a wasteful number, since it uses less digits than its factorization.

3402380800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 3402380800 is about 58329.9305674197. The cubic root of 3402380800 is about 1504.0454943232.

The spelling of 3402380800 in words is "three billion, four hundred two million, three hundred eighty thousand, eight hundred".