3745729443456 has 1280 divisors, whose sum is σ = 15040849824000. Its totient is φ = 893645291520.

The previous prime is 3745729443419. The next prime is 3745729443481. The reversal of 3745729443456 is 6543449275473.

3745729443456 is a `hidden beast` number, since 3 + 7 + 4 + 57 + 2 + 94 + 43 + 456 = 666.

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 = 3745729443393 and 3745729443402.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2418158970 + ... + 2418160518.

It is an arithmetic number, because the mean of its divisors is an integer number (11750663925).

Almost surely, 2^{3745729443456} is an apocalyptic number.

3745729443456 is a gapful number since it is divisible by the number (36) 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 3745729443456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7520424912000).

3745729443456 is an abundant number, since it is smaller than the sum of its proper divisors (11295120380544).

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

3745729443456 is a wasteful number, since it uses less digits than its factorization.

3745729443456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1839 (or 1818 counting only the distinct ones).

The product of its digits is 304819200, while the sum is 63.

The spelling of 3745729443456 in words is "three trillion, seven hundred forty-five billion, seven hundred twenty-nine million, four hundred forty-three thousand, four hundred fifty-six".