3666495456 has 240 divisors, whose sum is σ = 11687339664. Its totient is φ = 1120905216.

The previous prime is 3666495419. The next prime is 3666495467. The reversal of 3666495456 is 6545946663.

It is a super-3 number, since 3×3666495456³ (a number of 30 digits) contains 333 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 39 ways as a sum of consecutive naturals, for example, 7850935 + ... + 7851401.

Almost surely, 2^3666495456 is an apocalyptic number.

3666495456 is a gapful number since it is divisible by the number (36) 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 3666495456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5843669832).

3666495456 is an abundant number, since it is smaller than the sum of its proper divisors (8020844208).

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

3666495456 is a wasteful number, since it uses less digits than its factorization.

3666495456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 718 counting only the distinct ones).

The product of its digits is 13996800, while the sum is 54.

The square root of 3666495456 is about 60551.5933398949. The cubic root of 3666495456 is about 1541.9976683942.

The spelling of 3666495456 in words is "three billion, six hundred sixty-six million, four hundred ninety-five thousand, four hundred fifty-six".