3780054432 has 288 divisors, whose sum is σ = 13992834240. Its totient is φ = 981711360.

The previous prime is 3780054407. The next prime is 3780054433. The reversal of 3780054432 is 2344500873.

It is a happy number.

3780054432 is a `hidden beast` number, since 3 + 7 + 80 + 0 + 544 + 32 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (3780054433) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 461638 + ... + 469754.

It is an arithmetic number, because the mean of its divisors is an integer number (48586230).

Almost surely, 2^3780054432 is an apocalyptic number.

3780054432 is a gapful number since it is divisible by the number (32) 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 3780054432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6996417120).

3780054432 is an abundant number, since it is smaller than the sum of its proper divisors (10212779808).

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

3780054432 is a wasteful number, since it uses less digits than its factorization.

3780054432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8161 (or 8140 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 3780054432 is about 61482.1472624371. The cubic root of 3780054432 is about 1557.7557077109.

It can be divided in two parts, 37800 and 54432, that multiplied together give a square (2057529600 = 45360²).

The spelling of 3780054432 in words is "three billion, seven hundred eighty million, fifty-four thousand, four hundred thirty-two".