3816339840 has 512 divisors, whose sum is σ = 14288486400. Its totient is φ = 961486848.

The previous prime is 3816339817. The next prime is 3816339851. The reversal of 3816339840 is 489336183.

3816339840 is a `hidden beast` number, since 3 + 8 + 1 + 633 + 9 + 8 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30049857 + ... + 30049983.

It is an arithmetic number, because the mean of its divisors is an integer number (27907200).

Almost surely, 2^3816339840 is an apocalyptic number.

3816339840 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 3816339840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7144243200).

3816339840 is an abundant number, since it is smaller than the sum of its proper divisors (10472146560).

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

3816339840 is a wasteful number, since it uses less digits than its factorization.

3816339840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 3816339840 is about 61776.5314662453. The cubic root of 3816339840 is about 1562.7242339734.

The spelling of 3816339840 in words is "three billion, eight hundred sixteen million, three hundred thirty-nine thousand, eight hundred forty".