3748308480000 has 2080 divisors, whose sum is σ = 16245743697920. Its totient is φ = 836075520000.

The previous prime is 3748308479983. The next prime is 3748308480001. The reversal of 3748308480000 is 848038473.

It is a happy number.

It is a super-2 number, since 2×3748308480000² (a number of 26 digits) 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 not an unprimeable number, because it can be changed into a prime (3748308480001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 29514239937 + ... + 29514240063.

Almost surely, 2^{3748308480000} is an apocalyptic number.

3748308480000 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 3748308480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8122871848960).

3748308480000 is an abundant number, since it is smaller than the sum of its proper divisors (12497435217920).

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

3748308480000 is an equidigital number, since it uses as much as digits as its factorization.

3748308480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 205 counting only the distinct ones).

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

The spelling of 3748308480000 in words is "three trillion, seven hundred forty-eight billion, three hundred eight million, four hundred eighty thousand".