3812618460 has 144 divisors (see below), whose sum is σ = 12958396416. Its totient is φ = 833551488.

The previous prime is 3812618449. The next prime is 3812618477. The reversal of 3812618460 is 648162183.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39429 + ... + 95811.

It is an arithmetic number, because the mean of its divisors is an integer number (89988864).

Almost surely, 2^3812618460 is an apocalyptic number.

3812618460 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 3812618460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6479198208).

3812618460 is an abundant number, since it is smaller than the sum of its proper divisors (9145777956).

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

3812618460 is a wasteful number, since it uses less digits than its factorization.

3812618460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56432 (or 56423 counting only the distinct ones).

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

The square root of 3812618460 is about 61746.4044297318. The cubic root of 3812618460 is about 1562.2161221664.

The spelling of 3812618460 in words is "three billion, eight hundred twelve million, six hundred eighteen thousand, four hundred sixty".