3354673958496 has 192 divisors, whose sum is σ = 11204665920000. Its totient is φ = 956556615168.

The previous prime is 3354673958413. The next prime is 3354673958507. The reversal of 3354673958496 is 6948593764533.

3354673958496 is a `hidden beast` number, since 3 + 3 + 5 + 4 + 6 + 7 + 39 + 584 + 9 + 6 = 666.

It is a super-2 number, since 2×3354673958496² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2462166 + ... + 3573738.

It is an arithmetic number, because the mean of its divisors is an integer number (58357635000).

Almost surely, 2^{3354673958496} is an apocalyptic number.

3354673958496 is a gapful number since it is divisible by the number (36) 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 3354673958496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5602332960000).

3354673958496 is an abundant number, since it is smaller than the sum of its proper divisors (7849991961504).

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

3354673958496 is a wasteful number, since it uses less digits than its factorization.

3354673958496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112098 (or 1112084 counting only the distinct ones).

The product of its digits is 1763596800, while the sum is 72.

The spelling of 3354673958496 in words is "three trillion, three hundred fifty-four billion, six hundred seventy-three million, nine hundred fifty-eight thousand, four hundred ninety-six".