3777280320 has 448 divisors, whose sum is σ = 14149645056. Its totient is φ = 843448320.

The previous prime is 3777280289. The next prime is 3777280357. The reversal of 3777280320 is 230827773.

It is a super-3 number, since 3×3777280320³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9514362 + ... + 9514758.

Almost surely, 2^3777280320 is an apocalyptic number.

3777280320 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 3777280320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7074822528).

3777280320 is an abundant number, since it is smaller than the sum of its proper divisors (10372364736).

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

3777280320 is a wasteful number, since it uses less digits than its factorization.

3777280320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 39.

The square root of 3777280320 is about 61459.5828166772. The cubic root of 3777280320 is about 1557.3745450902.

The spelling of 3777280320 in words is "three billion, seven hundred seventy-seven million, two hundred eighty thousand, three hundred twenty".