1881868032 has 288 divisors, whose sum is σ = 6198716160. Its totient is φ = 558305280.

The previous prime is 1881868019. The next prime is 1881868067. The reversal of 1881868032 is 2308681881.

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

It is a super-3 number, since 3×1881868032³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4029463 + ... + 4029929.

It is an arithmetic number, because the mean of its divisors is an integer number (21523320).

Almost surely, 2^1881868032 is an apocalyptic number.

1881868032 is a gapful number since it is divisible by the number (12) 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 1881868032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3099358080).

1881868032 is an abundant number, since it is smaller than the sum of its proper divisors (4316848128).

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

1881868032 is a wasteful number, since it uses less digits than its factorization.

1881868032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 1881868032 is about 43380.5029016493. The cubic root of 1881868032 is about 1234.6098046658.

The spelling of 1881868032 in words is "one billion, eight hundred eighty-one million, eight hundred sixty-eight thousand, thirty-two".