3807513216 has 480 divisors, whose sum is σ = 12806182620. Its totient is φ = 1121402880.

The previous prime is 3807513197. The next prime is 3807513247. The reversal of 3807513216 is 6123157083.

It can be written as a sum of positive squares in 6 ways, for example, as 193098816 + 3614414400 = 13896^2 + 60120^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 71839846 + ... + 71839898.

Almost surely, 2^3807513216 is an apocalyptic number.

3807513216 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 3807513216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6403091310).

3807513216 is an abundant number, since it is smaller than the sum of its proper divisors (8998669404).

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

3807513216 is a wasteful number, since it uses less digits than its factorization.

3807513216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 3807513216 is about 61705.0501660926. The cubic root of 3807513216 is about 1561.5185213748.

The spelling of 3807513216 in words is "three billion, eight hundred seven million, five hundred thirteen thousand, two hundred sixteen".