3754474542000 has 960 divisors, whose sum is σ = 16660080353280. Its totient is φ = 766589184000.

The previous prime is 3754474541971. The next prime is 3754474542001. The reversal of 3754474542000 is 2454744573.

3754474542000 is a `hidden beast` number, since 37 + 5 + 4 + 4 + 74 + 542 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×3754474542000² (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 not an unprimeable number, because it can be changed into a prime (3754474542001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 50741031 + ... + 50814969.

It is an arithmetic number, because the mean of its divisors is an integer number (17354250368).

Almost surely, 2^{3754474542000} is an apocalyptic number.

3754474542000 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 3754474542000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8330040176640).

3754474542000 is an abundant number, since it is smaller than the sum of its proper divisors (12905605811280).

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

3754474542000 is a wasteful number, since it uses less digits than its factorization.

3754474542000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74019 (or 74000 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 45.

The spelling of 3754474542000 in words is "three trillion, seven hundred fifty-four billion, four hundred seventy-four million, five hundred forty-two thousand".