861348384 has 288 divisors, whose sum is σ = 2888706240. Its totient is φ = 248721408.

The previous prime is 861348349. The next prime is 861348431. The reversal of 861348384 is 483843168.

861348384 is a `hidden beast` number, since 86 + 13 + 483 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×861348384² = 1483842077238822912, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2482099 + ... + 2482445.

It is an arithmetic number, because the mean of its divisors is an integer number (10030230).

Almost surely, 2^861348384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 861348384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444353120).

861348384 is an abundant number, since it is smaller than the sum of its proper divisors (2027357856).

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

861348384 is a wasteful number, since it uses less digits than its factorization.

861348384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 382 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 861348384 is about 29348.7373493307. The cubic root of 861348384 is about 951.4652859555.

The spelling of 861348384 in words is "eight hundred sixty-one million, three hundred forty-eight thousand, three hundred eighty-four".