3738389760000 has 2880 divisors, whose sum is σ = 17098932090240. Its totient is φ = 796262400000.

The previous prime is 3738389759981. The next prime is 3738389760011. The reversal of 3738389760000 is 679838373.

It is a tau number, because it is divible by the number of its divisors (2880).

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 239 ways as a sum of consecutive naturals, for example, 37013759950 + ... + 37013760050.

It is an arithmetic number, because the mean of its divisors is an integer number (5937129198).

Almost surely, 2^{3738389760000} is an apocalyptic number.

3738389760000 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 3738389760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8549466045120).

3738389760000 is an abundant number, since it is smaller than the sum of its proper divisors (13360542330240).

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

3738389760000 is an equidigital number, since it uses as much as digits as its factorization.

3738389760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 3738389760000 in words is "three trillion, seven hundred thirty-eight billion, three hundred eighty-nine million, seven hundred sixty thousand".