3754540944000 has 3072 divisors, whose sum is σ = 17986822963200. Its totient is φ = 752716800000.

The previous prime is 3754540943971. The next prime is 3754540944019. The reversal of 3754540944000 is 4490454573.

3754540944000 is a `hidden beast` number, since 3 + 75 + 454 + 0 + 94 + 40 + 0 + 0 = 666.

It is a super-2 number, since 2×3754540944000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 11343023835 + ... + 11343024165.

It is an arithmetic number, because the mean of its divisors is an integer number (5855085600).

Almost surely, 2^{3754540944000} is an apocalyptic number.

3754540944000 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 3754540944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8993411481600).

3754540944000 is an abundant number, since it is smaller than the sum of its proper divisors (14232282019200).

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

3754540944000 is a wasteful number, since it uses less digits than its factorization.

3754540944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 3754540944000 in words is "three trillion, seven hundred fifty-four billion, five hundred forty million, nine hundred forty-four thousand".