3666126464 has 384 divisors, whose sum is σ = 10321551360. Its totient is φ = 1257984000.

The previous prime is 3666126427. The next prime is 3666126473. The reversal of 3666126464 is 4646216663.

It is a happy number.

It is a super-2 number, since 2×3666126464² = 26880966500082286592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 51635549 + ... + 51635619.

It is an arithmetic number, because the mean of its divisors is an integer number (26879040).

Almost surely, 2^3666126464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3666126464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5160775680).

3666126464 is an abundant number, since it is smaller than the sum of its proper divisors (6655424896).

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

3666126464 is a wasteful number, since it uses less digits than its factorization.

3666126464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 135 counting only the distinct ones).

The product of its digits is 746496, while the sum is 44.

The square root of 3666126464 is about 60548.5463409321. The cubic root of 3666126464 is about 1541.9459383522.

The spelling of 3666126464 in words is "three billion, six hundred sixty-six million, one hundred twenty-six thousand, four hundred sixty-four".