3366129254400 has 2160 divisors, whose sum is σ = 14717877370560. Its totient is φ = 724775731200.

The previous prime is 3366129254399. The next prime is 3366129254431. The reversal of 3366129254400 is 44529216633.

3366129254400 is a `hidden beast` number, since 3 + 3 + 6 + 6 + 12 + 92 + 544 + 0 + 0 = 666.

It is a super-2 number, since 2×3366129254400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13097779072 + ... + 13097779328.

It is an arithmetic number, because the mean of its divisors is an integer number (6813832116).

Almost surely, 2^{3366129254400} is an apocalyptic number.

3366129254400 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 3366129254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7358938685280).

3366129254400 is an abundant number, since it is smaller than the sum of its proper divisors (11351748116160).

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

3366129254400 is a wasteful number, since it uses less digits than its factorization.

3366129254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 3366129254400 in words is "three trillion, three hundred sixty-six billion, one hundred twenty-nine million, two hundred fifty-four thousand, four hundred".