3366126342432 has 384 divisors, whose sum is σ = 11594419200000. Its totient is φ = 949569723648.

The previous prime is 3366126342427. The next prime is 3366126342461. The reversal of 3366126342432 is 2342436216633.

3366126342432 is a `hidden beast` number, since 3 + 3 + 6 + 6 + 1 + 2 + 634 + 2 + 4 + 3 + 2 = 666.

It is a super-2 number, since 2×3366126342432² (a number of 26 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23339919 + ... + 23483697.

It is an arithmetic number, because the mean of its divisors is an integer number (30193800000).

Almost surely, 2^{3366126342432} is an apocalyptic number.

3366126342432 is a gapful number since it is divisible by the number (32) 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 3366126342432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5797209600000).

3366126342432 is an abundant number, since it is smaller than the sum of its proper divisors (8228292857568).

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

3366126342432 is a wasteful number, since it uses less digits than its factorization.

3366126342432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143898 (or 143870 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 45.

The spelling of 3366126342432 in words is "three trillion, three hundred sixty-six billion, one hundred twenty-six million, three hundred forty-two thousand, four hundred thirty-two".