3748405248000 has 1632 divisors, whose sum is σ = 16076309034240. Its totient is φ = 853593292800.

The previous prime is 3748405247999. The next prime is 3748405248059. The reversal of 3748405248000 is 8425048473.

It is a happy number.

3748405248000 is a `hidden beast` number, since 3 + 7 + 4 + 8 + 40 + 524 + 80 + 0 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 13934591866 + ... + 13934592134.

Almost surely, 2^{3748405248000} is an apocalyptic number.

3748405248000 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 3748405248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8038154517120).

3748405248000 is an abundant number, since it is smaller than the sum of its proper divisors (12327903786240).

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

3748405248000 is an frugal number, since it uses more digits than its factorization.

3748405248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 3748405248000 in words is "three trillion, seven hundred forty-eight billion, four hundred five million, two hundred forty-eight thousand".