3742460487936 has 243 divisors, whose sum is σ = 11071299390697. Its totient is φ = 1215822213120.

The previous prime is 3742460487929. The next prime is 3742460487959. The reversal of 3742460487936 is 6397840642473.

The square root of 3742460487936 is 1934544.

It is a perfect power (a square), and thus also a powerful number.

3742460487936 is a `hidden beast` number, since 3 + 7 + 4 + 2 + 4 + 60 + 487 + 93 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 180332718336 + 3562127769600 = 424656^2 + 1887360^2 .

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 3807182101 + ... + 3807183083.

Almost surely, 2^{3742460487936} is an apocalyptic number.

3742460487936 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3742460487936 is the 1934544-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3742460487936

3742460487936 is an abundant number, since it is smaller than the sum of its proper divisors (7328838902761).

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

3742460487936 is an frugal number, since it uses more digits than its factorization.

3742460487936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2070 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 63.

The spelling of 3742460487936 in words is "three trillion, seven hundred forty-two billion, four hundred sixty million, four hundred eighty-seven thousand, nine hundred thirty-six".