3728779488 has 384 divisors, whose sum is σ = 13452364800. Its totient is φ = 980895744.

The previous prime is 3728779459. The next prime is 3728779519. The reversal of 3728779488 is 8849778273.

3728779488 is a `hidden beast` number, since 3 + 7 + 2 + 87 + 79 + 488 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 4251306 + ... + 4252182.

It is an arithmetic number, because the mean of its divisors is an integer number (35032200).

Almost surely, 2^3728779488 is an apocalyptic number.

3728779488 is a gapful number since it is divisible by the number (38) 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 3728779488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6726182400).

3728779488 is an abundant number, since it is smaller than the sum of its proper divisors (9723585312).

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

3728779488 is a wasteful number, since it uses less digits than its factorization.

3728779488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959 (or 945 counting only the distinct ones).

The product of its digits is 37933056, while the sum is 63.

The square root of 3728779488 is about 61063.7330008574. The cubic root of 3728779488 is about 1550.6801715491.

The spelling of 3728779488 in words is "three billion, seven hundred twenty-eight million, seven hundred seventy-nine thousand, four hundred eighty-eight".