3814261680 has 320 divisors, whose sum is σ = 12616192512. Its totient is φ = 952197120.

The previous prime is 3814261679. The next prime is 3814261681. The reversal of 3814261680 is 861624183.

It is an interprime number because it is at equal distance from previous prime (3814261679) and next prime (3814261681).

It is not an unprimeable number, because it can be changed into a prime (3814261681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45954919 + ... + 45955001.

Almost surely, 2^3814261680 is an apocalyptic number.

3814261680 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 3814261680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6308096256).

3814261680 is an abundant number, since it is smaller than the sum of its proper divisors (8801930832).

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

3814261680 is a wasteful number, since it uses less digits than its factorization.

3814261680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 3814261680 is about 61759.7091962066. The cubic root of 3814261680 is about 1562.4405257789.

The spelling of 3814261680 in words is "three billion, eight hundred fourteen million, two hundred sixty-one thousand, six hundred eighty".