3749977840 has 120 divisors (see below), whose sum is σ = 10175375520. Its totient is φ = 1285245696.

The previous prime is 3749977823. The next prime is 3749977843. The reversal of 3749977840 is 487799473.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3749977843) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1343166 + ... + 1345954.

It is an arithmetic number, because the mean of its divisors is an integer number (84794796).

Almost surely, 2^3749977840 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 3749977840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5087687760).

3749977840 is an abundant number, since it is smaller than the sum of its proper divisors (6425397680).

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

3749977840 is an frugal number, since it uses more digits than its factorization.

3749977840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2837 (or 2803 counting only the distinct ones).

The product of its (nonzero) digits is 10668672, while the sum is 58.

The square root of 3749977840 is about 61237.0626336698. The cubic root of 3749977840 is about 1553.6131926921.

The spelling of 3749977840 in words is "three billion, seven hundred forty-nine million, nine hundred seventy-seven thousand, eight hundred forty".