3814668000 has 1152 divisors, whose sum is σ = 17265830400. Its totient is φ = 808704000.

The previous prime is 3814667977. The next prime is 3814668037. The reversal of 3814668000 is 8664183.

It is a happy number.

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 191 ways as a sum of consecutive naturals, for example, 200771991 + ... + 200772009.

It is an arithmetic number, because the mean of its divisors is an integer number (14987700).

Almost surely, 2^3814668000 is an apocalyptic number.

3814668000 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 3814668000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8632915200).

3814668000 is an abundant number, since it is smaller than the sum of its proper divisors (13451162400).

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

3814668000 is a wasteful number, since it uses less digits than its factorization.

3814668000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 53 counting only the distinct ones).

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

The square root of 3814668000 is about 61762.9986318670. The cubic root of 3814668000 is about 1562.4960042564.

The spelling of 3814668000 in words is "three billion, eight hundred fourteen million, six hundred sixty-eight thousand".