3770788320 has 288 divisors, whose sum is σ = 13956782112. Its totient is φ = 921563136.

The previous prime is 3770788313. The next prime is 3770788321. The reversal of 3770788320 is 238870773.

It is a tau number, because it is divible by the number of its divisors (288).

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 (3770788321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2938399 + ... + 2939681.

It is an arithmetic number, because the mean of its divisors is an integer number (48461049).

Almost surely, 2^3770788320 is an apocalyptic number.

3770788320 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 3770788320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6978391056).

3770788320 is an abundant number, since it is smaller than the sum of its proper divisors (10185993792).

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

3770788320 is a wasteful number, since it uses less digits than its factorization.

3770788320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1474 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 3770788320 is about 61406.7449064026. The cubic root of 3770788320 is about 1556.4818151798.

The spelling of 3770788320 in words is "three billion, seven hundred seventy million, seven hundred eighty-eight thousand, three hundred twenty".