3734456721408 has 784 divisors, whose sum is σ = 12901360857120. Its totient is φ = 1058328281088.

The previous prime is 3734456721371. The next prime is 3734456721449. The reversal of 3734456721408 is 8041276544373.

3734456721408 is a `hidden beast` number, since 3 + 7 + 34 + 4 + 567 + 2 + 1 + 40 + 8 = 666.

3734456721408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6563192548 + ... + 6563193116.

Almost surely, 2^{3734456721408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3734456721408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6450680428560).

3734456721408 is an abundant number, since it is smaller than the sum of its proper divisors (9166904135712).

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

3734456721408 is an frugal number, since it uses more digits than its factorization.

3734456721408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 3734456721408 in words is "three trillion, seven hundred thirty-four billion, four hundred fifty-six million, seven hundred twenty-one thousand, four hundred eight".