3867413760 has 432 divisors, whose sum is σ = 15433017600. Its totient is φ = 875888640.

The previous prime is 3867413749. The next prime is 3867413777. The reversal of 3867413760 is 673147683.

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 47 ways as a sum of consecutive naturals, for example, 16047240 + ... + 16047480.

Almost surely, 2^3867413760 is an apocalyptic number.

3867413760 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 3867413760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7716508800).

3867413760 is an abundant number, since it is smaller than the sum of its proper divisors (11565603840).

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

3867413760 is a wasteful number, since it uses less digits than its factorization.

3867413760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 3867413760 is about 62188.5339914039. The cubic root of 3867413760 is about 1569.6646558172.

The spelling of 3867413760 in words is "three billion, eight hundred sixty-seven million, four hundred thirteen thousand, seven hundred sixty".