3763768320 has 528 divisors, whose sum is σ = 14413369152. Its totient is φ = 902430720.

The previous prime is 3763768241. The next prime is 3763768321. The reversal of 3763768320 is 238673673.

3763768320 is a `hidden beast` number, since 3 + 7 + 637 + 6 + 8 + 3 + 2 + 0 = 666.

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 (3763768321) 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, 36541389 + ... + 36541491.

Almost surely, 2^3763768320 is an apocalyptic number.

3763768320 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 3763768320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7206684576).

3763768320 is an abundant number, since it is smaller than the sum of its proper divisors (10649600832).

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

3763768320 is a wasteful number, since it uses less digits than its factorization.

3763768320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The square root of 3763768320 is about 61349.5584336187. The cubic root of 3763768320 is about 1555.5153249762.

The spelling of 3763768320 in words is "three billion, seven hundred sixty-three million, seven hundred sixty-eight thousand, three hundred twenty".