381288807900 has 1152 divisors, whose sum is σ = 1669813125120. Its totient is φ = 72067968000.

The previous prime is 381288807841. The next prime is 381288807917. The reversal of 381288807900 is 9708882183.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 191890707 + ... + 191892693.

It is an arithmetic number, because the mean of its divisors is an integer number (1449490560).

Almost surely, 2^381288807900 is an apocalyptic number.

381288807900 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 381288807900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834906562560).

381288807900 is an abundant number, since it is smaller than the sum of its proper divisors (1288524317220).

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

381288807900 is a wasteful number, since it uses less digits than its factorization.

381288807900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2112 (or 2099 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 381288807900 in words is "three hundred eighty-one billion, two hundred eighty-eight million, eight hundred seven thousand, nine hundred".