3750038208000 has 3840 divisors, whose sum is σ = 17659369728000. Its totient is φ = 790091366400.

The previous prime is 3750038207999. The next prime is 3750038208023. The reversal of 3750038208000 is 8028300573.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-2 number, since 2×3750038208000² (a number of 26 digits) contains 22 as substring.

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

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 3750038208000 = 7840³ + 14840³ = 8355³ + 14685³.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 101352383982 + ... + 101352384018.

It is an arithmetic number, because the mean of its divisors is an integer number (4598794200).

Almost surely, 2^{3750038208000} is an apocalyptic number.

3750038208000 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 3750038208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8829684864000).

3750038208000 is an abundant number, since it is smaller than the sum of its proper divisors (13909331520000).

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

3750038208000 is an frugal number, since it uses more digits than its factorization.

3750038208000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 3750038208000 in words is "three trillion, seven hundred fifty billion, thirty-eight million, two hundred eight thousand".