3749376096 has 288 divisors, whose sum is σ = 12101806080. Its totient is φ = 1096001280.

The previous prime is 3749376091. The next prime is 3749376101. The reversal of 3749376096 is 6906739473.

3749376096 is a `hidden beast` number, since 3 + 7 + 493 + 7 + 60 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (3749376091) and next prime (3749376101).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3749376096² = 28115642218512402432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3749376091) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120947601 + ... + 120947631.

It is an arithmetic number, because the mean of its divisors is an integer number (42020160).

Almost surely, 2^3749376096 is an apocalyptic number.

3749376096 is a gapful number since it is divisible by the number (36) 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 3749376096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6050903040).

3749376096 is an abundant number, since it is smaller than the sum of its proper divisors (8352429984).

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

3749376096 is a wasteful number, since it uses less digits than its factorization.

3749376096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 5143824, while the sum is 54.

The square root of 3749376096 is about 61232.1492028493. The cubic root of 3749376096 is about 1553.5300875409.

The spelling of 3749376096 in words is "three billion, seven hundred forty-nine million, three hundred seventy-six thousand, ninety-six".