3358649431200 has 576 divisors, whose sum is σ = 13261933681920. Its totient is φ = 720741335040.

The previous prime is 3358649431153. The next prime is 3358649431211. The reversal of 3358649431200 is 21349468533.

It is a super-2 number, since 2×3358649431200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3358649431200.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 116796024 + ... + 116824776.

It is an arithmetic number, because the mean of its divisors is an integer number (23024190420).

Almost surely, 2^{3358649431200} is an apocalyptic number.

3358649431200 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 3358649431200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6630966840960).

3358649431200 is an abundant number, since it is smaller than the sum of its proper divisors (9903284250720).

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

3358649431200 is a wasteful number, since it uses less digits than its factorization.

3358649431200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29209 (or 29196 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 3358649431200 in words is "three trillion, three hundred fifty-eight billion, six hundred forty-nine million, four hundred thirty-one thousand, two hundred".