3748137120 has 288 divisors, whose sum is σ = 15742726272. Its totient is φ = 790788096.

The previous prime is 3748137091. The next prime is 3748137149. The reversal of 3748137120 is 217318473.

It is an interprime number because it is at equal distance from previous prime (3748137091) and next prime (3748137149).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 116739 + ... + 145341.

It is an arithmetic number, because the mean of its divisors is an integer number (54662244).

Almost surely, 2^3748137120 is an apocalyptic number.

3748137120 is a gapful number since it is divisible by the number (30) 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 3748137120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7871363136).

3748137120 is an abundant number, since it is smaller than the sum of its proper divisors (11994589152).

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

3748137120 is a wasteful number, since it uses less digits than its factorization.

3748137120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28644 (or 28633 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 3748137120 is about 61222.0313285993. The cubic root of 3748137120 is about 1553.3589480857.

The spelling of 3748137120 in words is "three billion, seven hundred forty-eight million, one hundred thirty-seven thousand, one hundred twenty".