3756213456 has 80 divisors (see below), whose sum is σ = 10205775360. Its totient is φ = 1188794880.

The previous prime is 3756213431. The next prime is 3756213457. The reversal of 3756213456 is 6543126573.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3756213457) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 55050 + ... + 102678.

It is an arithmetic number, because the mean of its divisors is an integer number (127572192).

Almost surely, 2^3756213456 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 3756213456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5102887680).

3756213456 is an abundant number, since it is smaller than the sum of its proper divisors (6449561904).

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

3756213456 is a wasteful number, since it uses less digits than its factorization.

3756213456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47724 (or 47718 counting only the distinct ones).

The product of its digits is 453600, while the sum is 42.

The square root of 3756213456 is about 61287.9552277607. The cubic root of 3756213456 is about 1554.4738529351.

The spelling of 3756213456 in words is "three billion, seven hundred fifty-six million, two hundred thirteen thousand, four hundred fifty-six".