3810466800 has 600 divisors, whose sum is σ = 15974218656. Its totient is φ = 851834880.

The previous prime is 3810466789. The next prime is 3810466831. The reversal of 3810466800 is 86640183.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (600).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 12020242 + ... + 12020558.

Almost surely, 2^3810466800 is an apocalyptic number.

3810466800 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 3810466800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7987109328).

3810466800 is an abundant number, since it is smaller than the sum of its proper divisors (12163751856).

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

3810466800 is a wasteful number, since it uses less digits than its factorization.

3810466800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3810466800 is about 61728.9786081059. The cubic root of 3810466800 is about 1561.9221867774.

The spelling of 3810466800 in words is "three billion, eight hundred ten million, four hundred sixty-six thousand, eight hundred".