3748486280000 has 1260 divisors, whose sum is σ = 12218416455168. Its totient is φ = 1127831040000.

The previous prime is 3748486279991. The next prime is 3748486280003. The reversal of 3748486280000 is 826848473.

It is a super-2 number, since 2×3748486280000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3748486280003) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 29515639937 + ... + 29515640063.

Almost surely, 2^{3748486280000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3748486280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6109208227584).

3748486280000 is an abundant number, since it is smaller than the sum of its proper divisors (8469930175168).

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

3748486280000 is a wasteful number, since it uses less digits than its factorization.

3748486280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 50.

It can be divided in two parts, 37 and 48486280000, that multiplied together give a square (1793992360000 = 1339400²).

The spelling of 3748486280000 in words is "three trillion, seven hundred forty-eight billion, four hundred eighty-six million, two hundred eighty thousand".