3723148800000 has 2496 divisors, whose sum is σ = 16790475340800. Its totient is φ = 806215680000.

The previous prime is 3723148799999. The next prime is 3723148800001. The reversal of 3723148800000 is 88413273.

It is an interprime number because it is at equal distance from previous prime (3723148799999) and next prime (3723148800001).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3723148800001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 195955199991 + ... + 195955200009.

Almost surely, 2^{3723148800000} is an apocalyptic number.

3723148800000 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 3723148800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8395237670400).

3723148800000 is an abundant number, since it is smaller than the sum of its proper divisors (13067326540800).

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

3723148800000 is an frugal number, since it uses more digits than its factorization.

3723148800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 3723148800000 in words is "three trillion, seven hundred twenty-three billion, one hundred forty-eight million, eight hundred thousand".