3758040023040 has 1368 divisors, whose sum is σ = 14859384096960. Its totient is φ = 908121341952.

The previous prime is 3758040023039. The next prime is 3758040023047. The reversal of 3758040023040 is 403200408573.

It is a happy number.

3758040023040 is a `hidden beast` number, since 3 + 7 + 580 + 4 + 0 + 0 + 2 + 30 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1368).

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

It is a junction number, because it is equal to n+sod(n) for n = 3758040022986 and 3758040023004.

It is not an unprimeable number, because it can be changed into a prime (3758040023047) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 163393044469 + ... + 163393044491.

Almost surely, 2^{3758040023040} is an apocalyptic number.

3758040023040 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 3758040023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7429692048480).

3758040023040 is an abundant number, since it is smaller than the sum of its proper divisors (11101344073920).

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

3758040023040 is an frugal number, since it uses more digits than its factorization.

3758040023040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 3758040023040 in words is "three trillion, seven hundred fifty-eight billion, forty million, twenty-three thousand, forty".