1861434432 has 504 divisors, whose sum is σ = 6718962432. Its totient is φ = 503884800.

The previous prime is 1861434383. The next prime is 1861434433. The reversal of 1861434432 is 2344341681.

1861434432 is a `hidden beast` number, since 1 + 8 + 614 + 3 + 4 + 4 + 32 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (1861434433) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 60046257 + ... + 60046287.

Almost surely, 2^1861434432 is an apocalyptic number.

1861434432 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 1861434432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3359481216).

1861434432 is an abundant number, since it is smaller than the sum of its proper divisors (4857528000).

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

1861434432 is an equidigital number, since it uses as much as digits as its factorization.

1861434432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 60 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 1861434432 is about 43144.3441484513. The cubic root of 1861434432 is about 1230.1250081156.

The spelling of 1861434432 in words is "one billion, eight hundred sixty-one million, four hundred thirty-four thousand, four hundred thirty-two".