3780522144 has 144 divisors (see below), whose sum is σ = 12821058432. Its totient is φ = 1033173504.

The previous prime is 3780522113. The next prime is 3780522149. The reversal of 3780522144 is 4412250873.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 3780522099 and 3780522108.

It is not an unprimeable number, because it can be changed into a prime (3780522149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5602 + ... + 87134.

It is an arithmetic number, because the mean of its divisors is an integer number (89035128).

Almost surely, 2^3780522144 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 3780522144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6410529216).

3780522144 is an abundant number, since it is smaller than the sum of its proper divisors (9040536288).

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

3780522144 is a wasteful number, since it uses less digits than its factorization.

3780522144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81579 (or 81568 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 3780522144 is about 61485.9507855250. The cubic root of 3780522144 is about 1557.8199529049.

The spelling of 3780522144 in words is "three billion, seven hundred eighty million, five hundred twenty-two thousand, one hundred forty-four".