3355001301000 has 256 divisors, whose sum is σ = 10594964540160. Its totient is φ = 883833753600.

The previous prime is 3355001300977. The next prime is 3355001301007. The reversal of 3355001301000 is 1031005533.

It is a happy number.

It is a super-2 number, since 2×3355001301000² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3355001301007) 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, 104056882 + ... + 104089118.

It is an arithmetic number, because the mean of its divisors is an integer number (41386580235).

Almost surely, 2^{3355001301000} is an apocalyptic number.

3355001301000 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 3355001301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5297482270080).

3355001301000 is an abundant number, since it is smaller than the sum of its proper divisors (7239963239160).

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

3355001301000 is a wasteful number, since it uses less digits than its factorization.

3355001301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32681 (or 32667 counting only the distinct ones).

The product of its (nonzero) digits is 675, while the sum is 21.

Adding to 3355001301000 its reverse (1031005533), we get a palindrome (3356032306533).

The spelling of 3355001301000 in words is "three trillion, three hundred fifty-five billion, one million, three hundred one thousand".