3748731840 has 672 divisors, whose sum is σ = 15656868864. Its totient is φ = 836075520.

The previous prime is 3748731781. The next prime is 3748731869. The reversal of 3748731840 is 481378473.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38646672 + ... + 38646768.

It is an arithmetic number, because the mean of its divisors is an integer number (23298912).

Almost surely, 2^3748731840 is an apocalyptic number.

3748731840 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 3748731840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7828434432).

3748731840 is an abundant number, since it is smaller than the sum of its proper divisors (11908137024).

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

3748731840 is an equidigital number, since it uses as much as digits as its factorization.

3748731840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 3748731840 is about 61226.8882109813. Note that the first 3 decimals coincide. The cubic root of 3748731840 is about 1553.4411013214.

The spelling of 3748731840 in words is "three billion, seven hundred forty-eight million, seven hundred thirty-one thousand, eight hundred forty".