3779770320 has 480 divisors, whose sum is σ = 14331582720. Its totient is φ = 888053760.

The previous prime is 3779770307. The next prime is 3779770331. The reversal of 3779770320 is 230779773.

3779770320 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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, 12900094 + ... + 12900386.

It is an arithmetic number, because the mean of its divisors is an integer number (29857464).

Almost surely, 2^3779770320 is an apocalyptic number.

3779770320 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 3779770320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7165791360).

3779770320 is an abundant number, since it is smaller than the sum of its proper divisors (10551812400).

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

3779770320 is a wasteful number, since it uses less digits than its factorization.

3779770320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 388962, while the sum is 45.

The square root of 3779770320 is about 61479.8366946432. The cubic root of 3779770320 is about 1557.7166793331.

The spelling of 3779770320 in words is "three billion, seven hundred seventy-nine million, seven hundred seventy thousand, three hundred twenty".