3802906800 has 960 divisors, whose sum is σ = 17934566400. Its totient is φ = 740966400.

The previous prime is 3802906781. The next prime is 3802906823. The reversal of 3802906800 is 86092083.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14137066 + ... + 14137334.

It is an arithmetic number, because the mean of its divisors is an integer number (18681840).

Almost surely, 2^3802906800 is an apocalyptic number.

3802906800 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 3802906800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8967283200).

3802906800 is an abundant number, since it is smaller than the sum of its proper divisors (14131659600).

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

3802906800 is a wasteful number, since it uses less digits than its factorization.

3802906800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 3802906800 is about 61667.7127839196. The cubic root of 3802906800 is about 1560.8885470584. Note that the first 3 decimals are identical.

Adding to 3802906800 its reverse (86092083), we get a palindrome (3888998883).

The spelling of 3802906800 in words is "three billion, eight hundred two million, nine hundred six thousand, eight hundred".