3748983840 has 288 divisors, whose sum is σ = 14800496256. Its totient is φ = 846397440.

The previous prime is 3748983827. The next prime is 3748983859. The reversal of 3748983840 is 483898473.

3748983840 = 1² + 2² + ... + 2240².

3748983840 is a `hidden beast` number, since 3 + 7 + 489 + 83 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3748983840² = 28109759665162291200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 834400 + ... + 838880.

It is an arithmetic number, because the mean of its divisors is an integer number (51390612).

Almost surely, 2^3748983840 is an apocalyptic number.

3748983840 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 3748983840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7400248128).

3748983840 is an abundant number, since it is smaller than the sum of its proper divisors (11051512416).

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

3748983840 is a wasteful number, since it uses less digits than its factorization.

3748983840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4592 (or 4581 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The square root of 3748983840 is about 61228.9460957805. The cubic root of 3748983840 is about 1553.4759093937.

The spelling of 3748983840 in words is "three billion, seven hundred forty-eight million, nine hundred eighty-three thousand, eight hundred forty".