3740762121000 has 256 divisors, whose sum is σ = 11770852504320. Its totient is φ = 989035520000.

The previous prime is 3740762120983. The next prime is 3740762121011. The reversal of 3740762121000 is 1212670473.

3740762121000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 362085835 + ... + 362096165.

It is an arithmetic number, because the mean of its divisors is an integer number (45979892595).

Almost surely, 2^{3740762121000} is an apocalyptic number.

3740762121000 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 3740762121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5885426252160).

3740762121000 is an abundant number, since it is smaller than the sum of its proper divisors (8030090383320).

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

3740762121000 is a wasteful number, since it uses less digits than its factorization.

3740762121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11373 (or 11359 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

Adding to 3740762121000 its reverse (1212670473), we get a palindrome (3741974791473).

The spelling of 3740762121000 in words is "three trillion, seven hundred forty billion, seven hundred sixty-two million, one hundred twenty-one thousand".