3748420032 has 336 divisors, whose sum is σ = 12759171840. Its totient is φ = 963207168.

The previous prime is 3748420019. The next prime is 3748420051. The reversal of 3748420032 is 2300248473.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 3748419975 and 3748420002.

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, 3678019 + ... + 3679037.

Almost surely, 2^3748420032 is an apocalyptic number.

3748420032 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 3748420032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6379585920).

3748420032 is an abundant number, since it is smaller than the sum of its proper divisors (9010751808).

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

3748420032 is a wasteful number, since it uses less digits than its factorization.

3748420032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 3748420032 is about 61224.3418257804. The cubic root of 3748420032 is about 1553.3980299741.

The spelling of 3748420032 in words is "three billion, seven hundred forty-eight million, four hundred twenty thousand, thirty-two".