3351565536000 has 576 divisors, whose sum is σ = 12252152779776. Its totient is φ = 805281792000.

The previous prime is 3351565535999. The next prime is 3351565536001. The reversal of 3351565536000 is 6355651533.

It is an interprime number because it is at equal distance from previous prime (3351565535999) and next prime (3351565536001).

It is a super-2 number, since 2×3351565536000² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3351565536001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 119313957 + ... + 119342043.

It is an arithmetic number, because the mean of its divisors is an integer number (21271098576).

Almost surely, 2^{3351565536000} is an apocalyptic number.

3351565536000 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 3351565536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6126076389888).

3351565536000 is an abundant number, since it is smaller than the sum of its proper divisors (8900587243776).

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

3351565536000 is a wasteful number, since it uses less digits than its factorization.

3351565536000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28245 (or 28221 counting only the distinct ones).

The product of its (nonzero) digits is 607500, while the sum is 42.

The spelling of 3351565536000 in words is "three trillion, three hundred fifty-one billion, five hundred sixty-five million, five hundred thirty-six thousand".