3758241913920 has 840 divisors, whose sum is σ = 15294192260424. Its totient is φ = 870665158656.

The previous prime is 3758241913861. The next prime is 3758241913961. The reversal of 3758241913920 is 293191428573.

3758241913920 is a `hidden beast` number, since 3 + 7 + 5 + 8 + 241 + 9 + 1 + 392 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 258169674816 + 3500072239104 = 508104^2 + 1870848^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 97362144 + ... + 97400736.

Almost surely, 2^{3758241913920} is an apocalyptic number.

3758241913920 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 3758241913920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7647096130212).

3758241913920 is an abundant number, since it is smaller than the sum of its proper divisors (11535950346504).

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

3758241913920 is a wasteful number, since it uses less digits than its factorization.

3758241913920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38669 (or 38633 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 3758241913920 in words is "three trillion, seven hundred fifty-eight billion, two hundred forty-one million, nine hundred thirteen thousand, nine hundred twenty".