3740016384 has 432 divisors, whose sum is σ = 12454827840. Its totient is φ = 1070530560.

The previous prime is 3740016383. The next prime is 3740016443. The reversal of 3740016384 is 4836100473.

3740016384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3740016384³ (a number of 30 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3740016383) 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, 42022612 + ... + 42022700.

It is an arithmetic number, because the mean of its divisors is an integer number (28830620).

Almost surely, 2^3740016384 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 3740016384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6227413920).

3740016384 is an abundant number, since it is smaller than the sum of its proper divisors (8714811456).

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

3740016384 is a wasteful number, since it uses less digits than its factorization.

3740016384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3740016384 is about 61155.6733590597. The cubic root of 3740016384 is about 1552.2362980273.

The spelling of 3740016384 in words is "three billion, seven hundred forty million, sixteen thousand, three hundred eighty-four".