3748308480 has 640 divisors, whose sum is σ = 15587573760. Its totient is φ = 836075520.

The previous prime is 3748308463. The next prime is 3748308503. The reversal of 3748308480 is 848038473.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×3748308480² = 28099632922479820800, which contains 22 as substring.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29514177 + ... + 29514303.

It is an arithmetic number, because the mean of its divisors is an integer number (24355584).

Almost surely, 2^3748308480 is an apocalyptic number.

3748308480 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 3748308480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7793786880).

3748308480 is an abundant number, since it is smaller than the sum of its proper divisors (11839265280).

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

3748308480 is a wasteful number, since it uses less digits than its factorization.

3748308480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 3748308480 is about 61223.4308088006. The cubic root of 3748308480 is about 1553.3826202482.

The spelling of 3748308480 in words is "three billion, seven hundred forty-eight million, three hundred eight thousand, four hundred eighty".