3738603872640 has 1024 divisors, whose sum is σ = 14970459248640. Its totient is φ = 772629331968.

The previous prime is 3738603872581. The next prime is 3738603872677. The reversal of 3738603872640 is 462783068373.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2002464987 + ... + 2002466853.

It is an arithmetic number, because the mean of its divisors is an integer number (14619589110).

Almost surely, 2^{3738603872640} is an apocalyptic number.

3738603872640 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 3738603872640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7485229624320).

3738603872640 is an abundant number, since it is smaller than the sum of its proper divisors (11231855376000).

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

3738603872640 is a wasteful number, since it uses less digits than its factorization.

3738603872640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2139 (or 2127 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 57.

The spelling of 3738603872640 in words is "three trillion, seven hundred thirty-eight billion, six hundred three million, eight hundred seventy-two thousand, six hundred forty".