3727438029056 has 72 divisors (see below), whose sum is σ = 8508609654720. Its totient is φ = 1596460529664.

The previous prime is 3727438029037. The next prime is 3727438029067. The reversal of 3727438029056 is 6509208347273.

It is a super-2 number, since 2×3727438029056² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 3727438028992 and 3727438029010.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2170910 + ... + 3488226.

Almost surely, 2^{3727438029056} 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 3727438029056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4254304827360).

3727438029056 is an abundant number, since it is smaller than the sum of its proper divisors (4781171625664).

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

3727438029056 is a wasteful number, since it uses less digits than its factorization.

3727438029056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318919 (or 1318905 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 56.

The spelling of 3727438029056 in words is "three trillion, seven hundred twenty-seven billion, four hundred thirty-eight million, twenty-nine thousand, fifty-six".