3748325952 has 280 divisors, whose sum is σ = 11884127616. Its totient is φ = 1042105344.

The previous prime is 3748325941. The next prime is 3748325969. The reversal of 3748325952 is 2595238473.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 39 ways as a sum of consecutive naturals, for example, 21666538 + ... + 21666710.

Almost surely, 2^3748325952 is an apocalyptic number.

3748325952 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 3748325952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5942063808).

3748325952 is an abundant number, since it is smaller than the sum of its proper divisors (8135801664).

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

3748325952 is an equidigital number, since it uses as much as digits as its factorization.

3748325952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 232 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 48.

The square root of 3748325952 is about 61223.5734991025. The cubic root of 3748325952 is about 1553.3850338399.

The spelling of 3748325952 in words is "three billion, seven hundred forty-eight million, three hundred twenty-five thousand, nine hundred fifty-two".