3748124299500 has 960 divisors, whose sum is σ = 14704071782400. Its totient is φ = 813047155200.

The previous prime is 3748124299499. The next prime is 3748124299511. The reversal of 3748124299500 is 59924218473.

3748124299500 is a `hidden beast` number, since 3 + 7 + 4 + 8 + 1 + 2 + 42 + 99 + 500 = 666.

3748124299500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 485064637 + ... + 485072363.

It is an arithmetic number, because the mean of its divisors is an integer number (15316741440).

Almost surely, 2^{3748124299500} is an apocalyptic number.

3748124299500 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 3748124299500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7352035891200).

3748124299500 is an abundant number, since it is smaller than the sum of its proper divisors (10955947482900).

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

3748124299500 is a wasteful number, since it uses less digits than its factorization.

3748124299500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7853 (or 7832 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 3748124299500 in words is "three trillion, seven hundred forty-eight billion, one hundred twenty-four million, two hundred ninety-nine thousand, five hundred".