3860398080 has 816 divisors, whose sum is σ = 17666273664. Its totient is φ = 754974720.

The previous prime is 3860398067. The next prime is 3860398081. The reversal of 3860398080 is 808930683.

3860398080 is a `hidden beast` number, since 38 + 603 + 9 + 8 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (816).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3860398081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 227082232 + ... + 227082248.

Almost surely, 2^3860398080 is an apocalyptic number.

3860398080 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 3860398080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8833136832).

3860398080 is an abundant number, since it is smaller than the sum of its proper divisors (13805875584).

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

3860398080 is a wasteful number, since it uses less digits than its factorization.

3860398080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 3860398080 is about 62132.1018475957. The cubic root of 3860398080 is about 1568.7149315082.

The spelling of 3860398080 in words is "three billion, eight hundred sixty million, three hundred ninety-eight thousand, eighty".