323006780093400 has 1152 divisors, whose sum is σ = 1216420284119040. Its totient is φ = 76274085888000.

The previous prime is 323006780093329. The next prime is 323006780093423. The reversal of 323006780093400 is 4390087600323.

323006780093400 is a `hidden beast` number, since 3 + 23 + 0 + 0 + 67 + 80 + 0 + 93 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 161261496799 + ... + 161261498801.

It is an arithmetic number, because the mean of its divisors is an integer number (1055920385520).

Almost surely, 2^{323006780093400} is an apocalyptic number.

323006780093400 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 323006780093400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608210142059520).

323006780093400 is an abundant number, since it is smaller than the sum of its proper divisors (893413504025640).

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

323006780093400 is a wasteful number, since it uses less digits than its factorization.

323006780093400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3897 (or 3885 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 323006780093400 in words is "three hundred twenty-three trillion, six billion, seven hundred eighty million, ninety-three thousand, four hundred".