3846860640 has 576 divisors, whose sum is σ = 16599038400. Its totient is φ = 826785792.

The previous prime is 3846860639. The next prime is 3846860687. The reversal of 3846860640 is 460686483.

3846860640 is a `hidden beast` number, since 38 + 4 + 6 + 8 + 606 + 4 + 0 = 666.

3846860640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3598026 + ... + 3599094.

It is an arithmetic number, because the mean of its divisors is an integer number (28817775).

Almost surely, 2^3846860640 is an apocalyptic number.

3846860640 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 3846860640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8299519200).

3846860640 is an abundant number, since it is smaller than the sum of its proper divisors (12752177760).

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

3846860640 is a wasteful number, since it uses less digits than its factorization.

3846860640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 3846860640 is about 62023.0653869994. The cubic root of 3846860640 is about 1566.8790883438.

The spelling of 3846860640 in words is "three billion, eight hundred forty-six million, eight hundred sixty thousand, six hundred forty".