3807749376 has 216 divisors, whose sum is σ = 11360008296. Its totient is φ = 1225850880.

The previous prime is 3807749371. The next prime is 3807749377. The reversal of 3807749376 is 6739477083.

It is a happy number.

3807749376 is a `hidden beast` number, since 3 + 80 + 7 + 7 + 493 + 76 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 138297600 + 3669451776 = 11760^2 + 60576^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3807749371) 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, 16342156 + ... + 16342388.

It is an arithmetic number, because the mean of its divisors is an integer number (52592631).

Almost surely, 2^3807749376 is an apocalyptic number.

3807749376 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 3807749376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5680004148).

3807749376 is an abundant number, since it is smaller than the sum of its proper divisors (7552258920).

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

3807749376 is a wasteful number, since it uses less digits than its factorization.

3807749376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The square root of 3807749376 is about 61706.9637561272. The cubic root of 3807749376 is about 1561.5508049651.

The spelling of 3807749376 in words is "three billion, eight hundred seven million, seven hundred forty-nine thousand, three hundred seventy-six".