3769816320 has 216 divisors, whose sum is σ = 13109296200. Its totient is φ = 1000194048.

The previous prime is 3769816319. The next prime is 3769816327. The reversal of 3769816320 is 236189673.

3769816320 is a `hidden beast` number, since 3 + 7 + 6 + 9 + 8 + 1 + 632 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 374190336 + 3395625984 = 19344^2 + 58272^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3769816327) 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, 2637366 + ... + 2638794.

Almost surely, 2^3769816320 is an apocalyptic number.

3769816320 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 3769816320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6554648100).

3769816320 is an abundant number, since it is smaller than the sum of its proper divisors (9339479880).

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

3769816320 is a wasteful number, since it uses less digits than its factorization.

3769816320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1685 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 3769816320 is about 61398.8299562785. The cubic root of 3769816320 is about 1556.3480650451.

The spelling of 3769816320 in words is "three billion, seven hundred sixty-nine million, eight hundred sixteen thousand, three hundred twenty".