3866667840 has 560 divisors, whose sum is σ = 15950208384. Its totient is φ = 870912000.

The previous prime is 3866667829. The next prime is 3866667899. The reversal of 3866667840 is 487666683.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×3866667840² = 29902240369780531200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18325335 + ... + 18325545.

Almost surely, 2^3866667840 is an apocalyptic number.

3866667840 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 3866667840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7975104192).

3866667840 is an abundant number, since it is smaller than the sum of its proper divisors (12083540544).

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

3866667840 is a wasteful number, since it uses less digits than its factorization.

3866667840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The square root of 3866667840 is about 62182.5364551817. The cubic root of 3866667840 is about 1569.5637339768.

The spelling of 3866667840 in words is "three billion, eight hundred sixty-six million, six hundred sixty-seven thousand, eight hundred forty".