3363061464400 has 90 divisors (see below), whose sum is σ = 8881053329246. Its totient is φ = 1222931424000.

The previous prime is 3363061464353. The next prime is 3363061464401. The reversal of 3363061464400 is 44641603633.

It can be written as a sum of positive squares in 3 ways, for example, as 5767491136 + 3357293973264 = 75944^2 + 1832292^2 .

It is a super-2 number, since 2×3363061464400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3363061464401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 34693971 + ... + 34790770.

Almost surely, 2^{3363061464400} is an apocalyptic number.

It is an amenable number.

3363061464400 is an abundant number, since it is smaller than the sum of its proper divisors (5517991864846).

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

3363061464400 is a wasteful number, since it uses less digits than its factorization.

3363061464400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69484781 (or 69484759 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 40.

The spelling of 3363061464400 in words is "three trillion, three hundred sixty-three billion, sixty-one million, four hundred sixty-four thousand, four hundred".