1877834112 has 256 divisors, whose sum is σ = 6374592000. Its totient is φ = 475545600.

The previous prime is 1877834111. The next prime is 1877834137. The reversal of 1877834112 is 2114387781.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1877834111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1211514 + ... + 1213062.

It is an arithmetic number, because the mean of its divisors is an integer number (24900750).

Almost surely, 2^1877834112 is an apocalyptic number.

1877834112 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 1877834112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3187296000).

1877834112 is an abundant number, since it is smaller than the sum of its proper divisors (4496757888).

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

1877834112 is a wasteful number, since it uses less digits than its factorization.

1877834112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1625 (or 1613 counting only the distinct ones).

The product of its digits is 75264, while the sum is 42.

The square root of 1877834112 is about 43333.9833387147. The cubic root of 1877834112 is about 1233.7270151718.

The spelling of 1877834112 in words is "one billion, eight hundred seventy-seven million, eight hundred thirty-four thousand, one hundred twelve".