3764036160 has 336 divisors, whose sum is σ = 13420173312. Its totient is φ = 967680000.

The previous prime is 3764036153. The next prime is 3764036191. The reversal of 3764036160 is 616304673.

It is a happy number.

3764036160 is a `hidden beast` number, since 3 + 7 + 640 + 3 + 6 + 1 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14996035 + ... + 14996285.

It is an arithmetic number, because the mean of its divisors is an integer number (39940992).

Almost surely, 2^3764036160 is an apocalyptic number.

3764036160 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 3764036160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6710086656).

3764036160 is an abundant number, since it is smaller than the sum of its proper divisors (9656137152).

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

3764036160 is a wasteful number, since it uses less digits than its factorization.

3764036160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 3764036160 is about 61351.7412955818. The cubic root of 3764036160 is about 1555.5522223360.

The spelling of 3764036160 in words is "three billion, seven hundred sixty-four million, thirty-six thousand, one hundred sixty".