3740297760 has 144 divisors (see below), whose sum is σ = 12811210776. Its totient is φ = 993705984.

The previous prime is 3740297753. The next prime is 3740297761. The reversal of 3740297760 is 677920473.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1569110544 + 2171187216 = 39612^2 + 46596^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3740297760² = 27979654666922035200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3740297761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 394192 + ... + 403568.

Almost surely, 2^3740297760 is an apocalyptic number.

3740297760 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 3740297760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6405605388).

3740297760 is an abundant number, since it is smaller than the sum of its proper divisors (9070913016).

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

3740297760 is a wasteful number, since it uses less digits than its factorization.

3740297760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9675 (or 9664 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The square root of 3740297760 is about 61157.9738055472. The cubic root of 3740297760 is about 1552.2752239787.

The spelling of 3740297760 in words is "three billion, seven hundred forty million, two hundred ninety-seven thousand, seven hundred sixty".