3807697264 has 120 divisors (see below), whose sum is σ = 9228989664. Its totient is φ = 1485619200.

The previous prime is 3807697259. The next prime is 3807697291. The reversal of 3807697264 is 4627967083.

It is a congruent number.

It is an unprimeable number.

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, 1828704 + ... + 1830784.

Almost surely, 2^3807697264 is an apocalyptic number.

3807697264 is a gapful number since it is divisible by the number (34) 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 3807697264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4614494832).

3807697264 is an abundant number, since it is smaller than the sum of its proper divisors (5421292400).

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

3807697264 is a wasteful number, since it uses less digits than its factorization.

3807697264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2175 (or 2138 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 52.

The square root of 3807697264 is about 61706.5415008814. The cubic root of 3807697264 is about 1561.5436812551.

The spelling of 3807697264 in words is "three billion, eight hundred seven million, six hundred ninety-seven thousand, two hundred sixty-four".