3779788320 has 576 divisors, whose sum is σ = 16634661120. Its totient is φ = 784650240.

The previous prime is 3779788297. The next prime is 3779788339. The reversal of 3779788320 is 238879773.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3658524 + ... + 3659556.

It is an arithmetic number, because the mean of its divisors is an integer number (28879620).

Almost surely, 2^3779788320 is an apocalyptic number.

3779788320 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 3779788320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8317330560).

3779788320 is an abundant number, since it is smaller than the sum of its proper divisors (12854872800).

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

3779788320 is a wasteful number, since it uses less digits than its factorization.

3779788320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The square root of 3779788320 is about 61479.9830839274. The cubic root of 3779788320 is about 1557.7191520456.

The spelling of 3779788320 in words is "three billion, seven hundred seventy-nine million, seven hundred eighty-eight thousand, three hundred twenty".