381353036280 has 128 divisors (see below), whose sum is σ = 1154178305280. Its totient is φ = 100796533760.

The previous prime is 381353036269. The next prime is 381353036291. The reversal of 381353036280 is 82630353183.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (381353036269) and next prime (381353036291).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13457887 + ... + 13486193.

It is an arithmetic number, because the mean of its divisors is an integer number (9017018010).

Almost surely, 2^381353036280 is an apocalyptic number.

381353036280 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 381353036280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577089152640).

381353036280 is an abundant number, since it is smaller than the sum of its proper divisors (772825269000).

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

381353036280 is a wasteful number, since it uses less digits than its factorization.

381353036280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29309 (or 29305 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 381353036280 in words is "three hundred eighty-one billion, three hundred fifty-three million, thirty-six thousand, two hundred eighty".