381542616 has 384 divisors, whose sum is σ = 1378944000. Its totient is φ = 96816384.

The previous prime is 381542537. The next prime is 381542627. The reversal of 381542616 is 616245183.

It is a happy number.

381542616 is a `hidden beast` number, since 38 + 1 + 5 + 4 + 2 + 616 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6466795 + ... + 6466853.

It is an arithmetic number, because the mean of its divisors is an integer number (3591000).

Almost surely, 2^381542616 is an apocalyptic number.

381542616 is a gapful number since it is divisible by the number (36) 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 381542616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689472000).

381542616 is an abundant number, since it is smaller than the sum of its proper divisors (997401384).

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

381542616 is a wasteful number, since it uses less digits than its factorization.

381542616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 131 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 381542616 is about 19533.1158804733. The cubic root of 381542616 is about 725.2944446498.

Adding to 381542616 its reverse (616245183), we get a palindrome (997787799).

The spelling of 381542616 in words is "three hundred eighty-one million, five hundred forty-two thousand, six hundred sixteen".