3223978137600 has 1152 divisors, whose sum is σ = 12437766432000. Its totient is φ = 728026316800.

The previous prime is 3223978137559. The next prime is 3223978137623. The reversal of 3223978137600 is 67318793223.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

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, 3073381876 + ... + 3073382924.

It is an arithmetic number, because the mean of its divisors is an integer number (10796672250).

Almost surely, 2^{3223978137600} is an apocalyptic number.

3223978137600 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 3223978137600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6218883216000).

3223978137600 is an abundant number, since it is smaller than the sum of its proper divisors (9213788294400).

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

3223978137600 is a wasteful number, since it uses less digits than its factorization.

3223978137600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 51.

The spelling of 3223978137600 in words is "three trillion, two hundred twenty-three billion, nine hundred seventy-eight million, one hundred thirty-seven thousand, six hundred".