3732789456 has 120 divisors (see below), whose sum is σ = 11483952480. Its totient is φ = 1122451200.

The previous prime is 3732789427. The next prime is 3732789469. The reversal of 3732789456 is 6549872373.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 198510 + ... + 216498.

It is an arithmetic number, because the mean of its divisors is an integer number (95699604).

Almost surely, 2^3732789456 is an apocalyptic number.

3732789456 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 3732789456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5741976240).

3732789456 is an abundant number, since it is smaller than the sum of its proper divisors (7751163024).

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

3732789456 is a wasteful number, since it uses less digits than its factorization.

3732789456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18145 (or 18136 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The square root of 3732789456 is about 61096.5584628136. The cubic root of 3732789456 is about 1551.2358448989.

The spelling of 3732789456 in words is "three billion, seven hundred thirty-two million, seven hundred eighty-nine thousand, four hundred fifty-six".