3478923496800 has 1728 divisors, whose sum is σ = 13692803604480. Its totient is φ = 860321710080.

The previous prime is 3478923496799. The next prime is 3478923496819. The reversal of 3478923496800 is 86943298743.

3478923496800 is a `hidden beast` number, since 3 + 47 + 8 + 9 + 23 + 496 + 80 + 0 = 666.

It is a super-2 number, since 2×3478923496800² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 27393098337 + ... + 27393098463.

It is an arithmetic number, because the mean of its divisors is an integer number (7924076160).

Almost surely, 2^{3478923496800} is an apocalyptic number.

3478923496800 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 3478923496800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6846401802240).

3478923496800 is an abundant number, since it is smaller than the sum of its proper divisors (10213880107680).

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

3478923496800 is a wasteful number, since it uses less digits than its factorization.

3478923496800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 3478923496800 in words is "three trillion, four hundred seventy-eight billion, nine hundred twenty-three million, four hundred ninety-six thousand, eight hundred".