3740798121984 has 2880 divisors, whose sum is σ = 15812585268480. Its totient is φ = 866545827840.

The previous prime is 3740798121971. The next prime is 3740798121989. The reversal of 3740798121984 is 4891218970473.

3740798121984 is a `hidden beast` number, since 3 + 7 + 407 + 9 + 8 + 1 + 219 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3740798121989) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 34960730059 + ... + 34960730165.

It is an arithmetic number, because the mean of its divisors is an integer number (5490480996).

Almost surely, 2^{3740798121984} is an apocalyptic number.

3740798121984 is a gapful number since it is divisible by the number (34) 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 3740798121984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7906292634240).

3740798121984 is an abundant number, since it is smaller than the sum of its proper divisors (12071787146496).

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

3740798121984 is a wasteful number, since it uses less digits than its factorization.

3740798121984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 3740798121984 in words is "three trillion, seven hundred forty billion, seven hundred ninety-eight million, one hundred twenty-one thousand, nine hundred eighty-four".