3744557974080 has 672 divisors, whose sum is σ = 16066918303488. Its totient is φ = 777649766400.

The previous prime is 3744557974067. The next prime is 3744557974169. The reversal of 3744557974080 is 804797554473.

3744557974080 is a `hidden beast` number, since 3 + 7 + 4 + 4 + 557 + 9 + 74 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×3744557974080² (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3744557973999 and 3744557974017.

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 95 ways as a sum of consecutive naturals, for example, 519136554 + ... + 519143766.

Almost surely, 2^{3744557974080} is an apocalyptic number.

3744557974080 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 3744557974080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8033459151744).

3744557974080 is an abundant number, since it is smaller than the sum of its proper divisors (12322360329408).

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

3744557974080 is a wasteful number, since it uses less digits than its factorization.

3744557974080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9595 (or 9582 counting only the distinct ones).

The product of its (nonzero) digits is 118540800, while the sum is 63.

The spelling of 3744557974080 in words is "three trillion, seven hundred forty-four billion, five hundred fifty-seven million, nine hundred seventy-four thousand, eighty".