3356861760000 has 1200 divisors, whose sum is σ = 13909626244800. Its totient is φ = 763195392000.

The previous prime is 3356861759963. The next prime is 3356861760001. The reversal of 3356861760000 is 671686533.

3356861760000 is a `hidden beast` number, since 3 + 35 + 6 + 8 + 6 + 1 + 7 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×3356861760000² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3356861760001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5423039691 + ... + 5423040309.

It is an arithmetic number, because the mean of its divisors is an integer number (11591355204).

Almost surely, 2^{3356861760000} is an apocalyptic number.

3356861760000 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 3356861760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6954813122400).

3356861760000 is an abundant number, since it is smaller than the sum of its proper divisors (10552764484800).

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

3356861760000 is an equidigital number, since it uses as much as digits as its factorization.

3356861760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 3356861760000 in words is "three trillion, three hundred fifty-six billion, eight hundred sixty-one million, seven hundred sixty thousand".