3743450880 has 576 divisors, whose sum is σ = 13845565440. Its totient is φ = 855244800.

The previous prime is 3743450833. The next prime is 3743450917. The reversal of 3743450880 is 880543473.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63448291 + ... + 63448349.

It is an arithmetic number, because the mean of its divisors is an integer number (24037440).

Almost surely, 2^3743450880 is an apocalyptic number.

3743450880 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 3743450880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6922782720).

3743450880 is an abundant number, since it is smaller than the sum of its proper divisors (10102114560).

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

3743450880 is a wasteful number, since it uses less digits than its factorization.

3743450880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The square root of 3743450880 is about 61183.7468614010. The cubic root of 3743450880 is about 1552.7112975780.

The spelling of 3743450880 in words is "three billion, seven hundred forty-three million, four hundred fifty thousand, eight hundred eighty".