381318537600 has 1536 divisors, whose sum is σ = 1874130048000. Its totient is φ = 73123430400.

The previous prime is 381318537539. The next prime is 381318537631. The reversal of 381318537600 is 6735813183.

381318537600 is a `hidden beast` number, since 3 + 8 + 1 + 3 + 1 + 8 + 5 + 37 + 600 = 666.

It is a super-2 number, since 2×381318537600² (a number of 24 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 86484196 + ... + 86488604.

It is an arithmetic number, because the mean of its divisors is an integer number (1220136750).

Almost surely, 2^381318537600 is an apocalyptic number.

381318537600 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 381318537600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937065024000).

381318537600 is an abundant number, since it is smaller than the sum of its proper divisors (1492811510400).

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

381318537600 is a wasteful number, since it uses less digits than its factorization.

381318537600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4473 (or 4450 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 381318537600 in words is "three hundred eighty-one billion, three hundred eighteen million, five hundred thirty-seven thousand, six hundred".