3741517472 has 288 divisors, whose sum is σ = 9841370112. Its totient is φ = 1368576000.

The previous prime is 3741517463. The next prime is 3741517513. The reversal of 3741517472 is 2747151473.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51253628 + ... + 51253700.

It is an arithmetic number, because the mean of its divisors is an integer number (34171424).

Almost surely, 2^3741517472 is an apocalyptic number.

3741517472 is a gapful number since it is divisible by the number (32) 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 3741517472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4920685056).

3741517472 is an abundant number, since it is smaller than the sum of its proper divisors (6099852640).

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

3741517472 is a wasteful number, since it uses less digits than its factorization.

3741517472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 185 counting only the distinct ones).

The product of its digits is 164640, while the sum is 41.

The square root of 3741517472 is about 61167.9448077177. The cubic root of 3741517472 is about 1552.4439380822.

The spelling of 3741517472 in words is "three billion, seven hundred forty-one million, five hundred seventeen thousand, four hundred seventy-two".