3743155328 has 128 divisors (see below), whose sum is σ = 8314583040. Its totient is φ = 1678279680.

The previous prime is 3743155313. The next prime is 3743155411. The reversal of 3743155328 is 8235513473.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×3743155328² = 28022423619069575168, which contains 22 as substring.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21636650 + ... + 21636822.

It is an arithmetic number, because the mean of its divisors is an integer number (64957680).

Almost surely, 2^3743155328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3743155328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4157291520).

3743155328 is an abundant number, since it is smaller than the sum of its proper divisors (4571427712).

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

3743155328 is a wasteful number, since it uses less digits than its factorization.

3743155328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 313 counting only the distinct ones).

The product of its digits is 302400, while the sum is 41.

The square root of 3743155328 is about 61181.3315317671. The cubic root of 3743155328 is about 1552.6704334108.

The spelling of 3743155328 in words is "three billion, seven hundred forty-three million, one hundred fifty-five thousand, three hundred twenty-eight".