3728056320 has 224 divisors, whose sum is σ = 13258434240. Its totient is φ = 993853440.

The previous prime is 3728056273. The next prime is 3728056351. The reversal of 3728056320 is 236508273.

3728056320 is a `hidden beast` number, since 3 + 7 + 280 + 56 + 320 = 666.

It is a super-4 number, since 4×3728056320⁴ (a number of 39 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1104235 + ... + 1107605.

Almost surely, 2^3728056320 is an apocalyptic number.

3728056320 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 3728056320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6629217120).

3728056320 is an abundant number, since it is smaller than the sum of its proper divisors (9530377920).

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

3728056320 is an equidigital number, since it uses as much as digits as its factorization.

3728056320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3411 (or 3381 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3728056320 is about 61057.8112938877. The cubic root of 3728056320 is about 1550.5799175844.

The spelling of 3728056320 in words is "three billion, seven hundred twenty-eight million, fifty-six thousand, three hundred twenty".