3752738304 has 320 divisors, whose sum is σ = 12374208000. Its totient is φ = 1006731264.

The previous prime is 3752738303. The next prime is 3752738333. The reversal of 3752738304 is 4038372573.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3752738303) 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 31 ways as a sum of consecutive naturals, for example, 8956207 + ... + 8956625.

It is an arithmetic number, because the mean of its divisors is an integer number (38669400).

Almost surely, 2^3752738304 is an apocalyptic number.

3752738304 is a gapful number since it is divisible by the number (34) 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 3752738304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6187104000).

3752738304 is an abundant number, since it is smaller than the sum of its proper divisors (8621469696).

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

3752738304 is an equidigital number, since it uses as much as digits as its factorization.

3752738304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 42.

The square root of 3752738304 is about 61259.5976480421. The cubic root of 3752738304 is about 1553.9943186222.

The spelling of 3752738304 in words is "three billion, seven hundred fifty-two million, seven hundred thirty-eight thousand, three hundred four".