3836542320 has 960 divisors, whose sum is σ = 16378951680. Its totient is φ = 824131584.

The previous prime is 3836542309. The next prime is 3836542331. The reversal of 3836542320 is 232456383.

It is a happy number.

3836542320 is a `hidden beast` number, since 3 + 83 + 6 + 542 + 32 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3836542309) and next prime (3836542331).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 81628537 + ... + 81628583.

It is an arithmetic number, because the mean of its divisors is an integer number (17061408).

Almost surely, 2^3836542320 is an apocalyptic number.

3836542320 is a gapful number since it is divisible by the number (30) 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 3836542320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8189475840).

3836542320 is an abundant number, since it is smaller than the sum of its proper divisors (12542409360).

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

3836542320 is a wasteful number, since it uses less digits than its factorization.

3836542320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 3836542320 is about 61939.8282206207. The cubic root of 3836542320 is about 1565.4769028404.

The spelling of 3836542320 in words is "three billion, eight hundred thirty-six million, five hundred forty-two thousand, three hundred twenty".