3749652480 has 576 divisors, whose sum is σ = 14520280320. Its totient is φ = 823001088.

The previous prime is 3749652449. The next prime is 3749652541. The reversal of 3749652480 is 842569473.

3749652480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70748134 + ... + 70748186.

It is an arithmetic number, because the mean of its divisors is an integer number (25208820).

Almost surely, 2^3749652480 is an apocalyptic number.

3749652480 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 3749652480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7260140160).

3749652480 is an abundant number, since it is smaller than the sum of its proper divisors (10770627840).

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

3749652480 is a wasteful number, since it uses less digits than its factorization.

3749652480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The square root of 3749652480 is about 61234.4060149194. The cubic root of 3749652480 is about 1553.5682592525.

The spelling of 3749652480 in words is "three billion, seven hundred forty-nine million, six hundred fifty-two thousand, four hundred eighty".