3747534336 has 480 divisors, whose sum is σ = 13846280448. Its totient is φ = 985374720.

The previous prime is 3747534319. The next prime is 3747534347. The reversal of 3747534336 is 6334357473.

It is a junction number, because it is equal to n+sod(n) for n = 3747534291 and 3747534300.

It is a congruent 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 47 ways as a sum of consecutive naturals, for example, 11321691 + ... + 11322021.

Almost surely, 2^3747534336 is an apocalyptic number.

3747534336 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 3747534336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6923140224).

3747534336 is an abundant number, since it is smaller than the sum of its proper divisors (10098746112).

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

3747534336 is an equidigital number, since it uses as much as digits as its factorization.

3747534336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 356 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 45.

The square root of 3747534336 is about 61217.1081969738. The cubic root of 3747534336 is about 1553.2756720395.

The spelling of 3747534336 in words is "three billion, seven hundred forty-seven million, five hundred thirty-four thousand, three hundred thirty-six".