3749099760 has 960 divisors, whose sum is σ = 16713216000. Its totient is φ = 747823104.

The previous prime is 3749099759. The next prime is 3749099821. The reversal of 3749099760 is 679909473.

3749099760 is a `hidden beast` number, since 3 + 7 + 490 + 9 + 97 + 60 = 666.

It is a super-3 number, since 3×3749099760³ (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3749099697 and 3749099706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 79768057 + ... + 79768103.

It is an arithmetic number, because the mean of its divisors is an integer number (17409600).

Almost surely, 2^3749099760 is an apocalyptic number.

3749099760 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 3749099760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8356608000).

3749099760 is an abundant number, since it is smaller than the sum of its proper divisors (12964116240).

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

3749099760 is a wasteful number, since it uses less digits than its factorization.

3749099760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 2571912, while the sum is 54.

The square root of 3749099760 is about 61229.8926995630. The cubic root of 3749099760 is about 1553.4919205831.

The spelling of 3749099760 in words is "three billion, seven hundred forty-nine million, ninety-nine thousand, seven hundred sixty".