3830697811800 has 288 divisors, whose sum is σ = 13625571211200. Its totient is φ = 961143459840.

The previous prime is 3830697811777. The next prime is 3830697811823. The reversal of 3830697811800 is 81187960383.

3830697811800 is a `hidden beast` number, since 383 + 0 + 6 + 9 + 7 + 81 + 180 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3830697811777) and next prime (3830697811823).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 114029406 + ... + 114062994.

It is an arithmetic number, because the mean of its divisors is an integer number (47311011150).

Almost surely, 2^{3830697811800} is an apocalyptic number.

3830697811800 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 3830697811800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6812785605600).

3830697811800 is an abundant number, since it is smaller than the sum of its proper divisors (9794873399400).

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

3830697811800 is a wasteful number, since it uses less digits than its factorization.

3830697811800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37355 (or 37343 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 3830697811800 in words is "three trillion, eight hundred thirty billion, six hundred ninety-seven million, eight hundred eleven thousand, eight hundred".