3473336496000 has 2048 divisors, whose sum is σ = 14582011392000. Its totient is φ = 713451110400.

The previous prime is 3473336495999. The next prime is 3473336496023. The reversal of 3473336496000 is 6946333743.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 13514927872 + ... + 13514928128.

It is an arithmetic number, because the mean of its divisors is an integer number (7120122750).

Almost surely, 2^{3473336496000} is an apocalyptic number.

3473336496000 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 3473336496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7291005696000).

3473336496000 is an abundant number, since it is smaller than the sum of its proper divisors (11108674896000).

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

3473336496000 is a wasteful number, since it uses less digits than its factorization.

3473336496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 48.

The spelling of 3473336496000 in words is "three trillion, four hundred seventy-three billion, three hundred thirty-six million, four hundred ninety-six thousand".