381344103360 has 1344 divisors, whose sum is σ = 1605320640000. Its totient is φ = 84815216640.

The previous prime is 381344103353. The next prime is 381344103367. The reversal of 381344103360 is 63301443183.

It is an interprime number because it is at equal distance from previous prime (381344103353) and next prime (381344103367).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381344103367) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 764216391 + ... + 764216889.

It is an arithmetic number, because the mean of its divisors is an integer number (1194435000).

Almost surely, 2^381344103360 is an apocalyptic number.

381344103360 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 381344103360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802660320000).

381344103360 is an abundant number, since it is smaller than the sum of its proper divisors (1223976536640).

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

381344103360 is a wasteful number, since it uses less digits than its factorization.

381344103360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 381344103360 in words is "three hundred eighty-one billion, three hundred forty-four million, one hundred three thousand, three hundred sixty".